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1201122022212 = 2232743937711821
BaseRepresentation
bin10001011110101000011…
…100111001001101000100
311020211022020222202002200
4101132220130321031010
5124134344214202322
62315442101234500
7152530631506560
oct21365034711504
94224266882080
101201122022212
11423436082a82
12174951402a30
138935aba9388
14421c555a6a0
152139d4718ac
hex117a8739344

1201122022212 has 144 divisors (see below), whose sum is σ = 3551282646912. Its totient is φ = 335132743680.

The previous prime is 1201122022211. The next prime is 1201122022259. The reversal of 1201122022212 is 2122202211021.

It is a happy number.

It is a super-2 number, since 2×12011220222122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1201122022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101603262 + ... + 101615082.

It is an arithmetic number, because the mean of its divisors is an integer number (24661685048).

Almost surely, 21201122022212 is an apocalyptic number.

1201122022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201122022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775641323456).

1201122022212 is an abundant number, since it is smaller than the sum of its proper divisors (2350160624700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201122022212 is a wasteful number, since it uses less digits than its factorization.

1201122022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1201122022212 its reverse (2122202211021), we get a palindrome (3323324233233).

The spelling of 1201122022212 in words is "one trillion, two hundred one billion, one hundred twenty-two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 9377 10836 11821 18754 23642 28131 35463 37508 47284 56262 65639 70926 82747 84393 106389 112524 131278 141852 165494 168786 196917 212778 248241 262556 330988 337572 393834 403211 425556 496482 508303 590751 744723 787668 806422 992964 1016606 1181502 1209633 1489446 1524909 1612844 2033212 2363004 2419266 2822477 2978892 3049818 3558121 3628899 4574727 4838532 5644954 6099636 7116242 7257798 8467431 9149454 10674363 11289908 14232484 14515596 16934862 18298908 21348726 25402293 32023089 33869724 42697452 50804586 64046178 101609172 110845517 128092356 221691034 332536551 443382068 665073102 775918619 997609653 1330146204 1551837238 1995219306 2327755857 3103674476 3990438612 4655511714 4766357231 6983267571 9311023428 9532714462 13966535142 14299071693 19065428924 27933070284 28598143386 33364500617 42897215079 57196286772 66729001234 85794430158 100093501851 133458002468 171588860316 200187003702 300280505553 400374007404 600561011106 1201122022212