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1201221201012 = 2237222915675693
BaseRepresentation
bin10001011110101110010…
…111001110110001110100
311020211120011121112211120
4101132232113032301310
5124140100111413022
62315500003103540
7152533244511600
oct21365627166164
94224504545746
101201221201012
11423487063528
1217497a671bb0
13893755c3161
14421d47b6500
15213a7012d5c
hex117ae5cec74

1201221201012 has 144 divisors (see below), whose sum is σ = 3277360719360. Its totient is φ = 341429292288.

The previous prime is 1201221200983. The next prime is 1201221201013. The reversal of 1201221201012 is 2101021221021.

It is a junction number, because it is equal to n+sod(n) for n = 1201221200982 and 1201221201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201221201013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210996838 + ... + 211002530.

It is an arithmetic number, because the mean of its divisors is an integer number (22759449440).

Almost surely, 21201221201012 is an apocalyptic number.

1201221201012 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 1201221201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638680359680).

1201221201012 is an abundant number, since it is smaller than the sum of its proper divisors (2076139518348).

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

1201221201012 is a wasteful number, since it uses less digits than its factorization.

1201221201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201221201012 its reverse (2101021221021), we get a palindrome (3302242422033).

The spelling of 1201221201012 in words is "one trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 458 588 687 916 1374 1567 1603 2748 3134 3206 4701 4809 5693 6268 6412 9402 9618 10969 11221 11386 17079 18804 19236 21938 22442 22772 32907 33663 34158 39851 43876 44884 65814 67326 68316 76783 79702 119553 131628 134652 153566 159404 230349 239106 278957 307132 358843 460698 478212 557914 717686 836871 921396 1076529 1115828 1303697 1435372 1673742 2153058 2511901 2607394 3347484 3911091 4306116 5023802 5214788 7535703 7822182 8920931 9125879 10047604 15071406 15644364 17583307 17841862 18251758 26762793 27377637 30142812 35166614 35683724 36503516 52749921 53525586 54755274 62446517 63881153 70333228 105499842 107051172 109510548 124893034 127762306 187339551 191643459 210999684 249786068 255524612 374679102 383286918 437125619 749358204 766573836 874251238 1311376857 1748502476 2042893199 2622753714 4085786398 5245507428 6128679597 8171572796 12257359194 14300252393 24514718388 28600504786 42900757179 57201009572 85801514358 100101766751 171603028716 200203533502 300305300253 400407067004 600610600506 1201221201012