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1001211220992 = 21031873174007
BaseRepresentation
bin11101001000111001101…
…01101101010000000000
310112201022010112211022210
432210130311231100000
5112400440033032432
62043541115102120
7132222642650403
oct16443465552000
93481263484283
101001211220992
1135667a6a6184
1214205b741940
137354c1bb558
143665d257d3a
151b09cc6b8cc
hexe91cd6d400

1001211220992 has 88 divisors (see below), whose sum is σ = 2670033042496. Its totient is φ = 333556973568.

The previous prime is 1001211220987. The next prime is 1001211221033. The reversal of 1001211220992 is 2990221121001.

It is a super-2 number, since 2×10012112209922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5666853 + ... + 5840859.

Almost surely, 21001211220992 is an apocalyptic number.

1001211220992 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 1001211220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335016521248).

1001211220992 is an abundant number, since it is smaller than the sum of its proper divisors (1668821821504).

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

1001211220992 is a wasteful number, since it uses less digits than its factorization.

1001211220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175903 (or 175885 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 1001211220992 its reverse (2990221121001), we get a palindrome (3991432341993).

The spelling of 1001211220992 in words is "one trillion, one billion, two hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1873 3072 3746 5619 7492 11238 14984 22476 29968 44952 59936 89904 119872 174007 179808 239744 348014 359616 479488 522021 696028 719232 958976 1044042 1392056 1438464 1917952 2088084 2784112 2876928 4176168 5568224 5753856 8352336 11136448 16704672 22272896 33409344 44545792 66818688 89091584 133637376 178183168 267274752 325915111 534549504 651830222 977745333 1303660444 1955490666 2607320888 3910981332 5214641776 7821962664 10429283552 15643925328 20858567104 31287850656 41717134208 62575701312 83434268416 125151402624 166868536832 250302805248 333737073664 500605610496 1001211220992