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1012221121002 = 2372131319200789
BaseRepresentation
bin11101011101011010001…
…01001001000111101010
310120202201102121200211020
432232231011021013222
5113041012101333002
62053001415313310
7133062532365300
oct16565505110752
93522642550736
101012221121002
1136030a485aa3
1214421297b836
13745b51a10a0
1436dc5584270
151b4e46142bc
hexebad1491ea

1012221121002 has 96 divisors (see below), whose sum is σ = 2538049852800. Its totient is φ = 266755692672.

The previous prime is 1012221120973. The next prime is 1012221121007. The reversal of 1012221121002 is 2001211222101.

It is not an unprimeable number, because it can be changed into a prime (1012221121007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4940824 + ... + 5141612.

It is an arithmetic number, because the mean of its divisors is an integer number (26438019300).

Almost surely, 21012221121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012221121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269024926400).

1012221121002 is an abundant number, since it is smaller than the sum of its proper divisors (1525828731798).

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

1012221121002 is a wasteful number, since it uses less digits than its factorization.

1012221121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202140 (or 202133 counting only the distinct ones).

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

Adding to 1012221121002 its reverse (2001211222101), we get a palindrome (3013432343103).

The spelling of 1012221121002 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1319 1911 2638 3822 3957 7914 9233 17147 18466 27699 34294 51441 55398 64631 102882 120029 129262 193893 200789 240058 360087 387786 401578 602367 720174 840203 1204734 1405523 1680406 2520609 2610257 2811046 4216569 5041218 5220514 7830771 8433138 9838661 15661542 18271799 19677322 29515983 36543598 54815397 59031966 109630794 127902593 255805186 264840691 383707779 529681382 767415558 794522073 1589044146 1853884837 3442928983 3707769674 5561654511 6885857966 10328786949 11123309022 12977193859 20657573898 24100502881 25954387718 38931581577 48201005762 72301508643 77863163154 144603017286 168703520167 337407040334 506110560501 1012221121002