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1201132113012 = 2233132141399583
BaseRepresentation
bin10001011110101001000…
…011011000110001110100
311020211022221222102002000
4101132221003120301310
5124134404310104022
62315443101415300
7152531113335036
oct21365103306164
94224287872060
101201132113012
11423440845387
1217495486a530
1389360000370
14421c6a25c56
152139e2b66ac
hex117a90d8c74

1201132113012 has 96 divisors (see below), whose sum is σ = 3355162997760. Its totient is φ = 369405567360.

The previous prime is 1201132112987. The next prime is 1201132113029. The reversal of 1201132113012 is 2103112311021.

1201132113012 is a `hidden beast` number, since 1 + 201 + 1 + 321 + 130 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2806173 + ... + 3205755.

It is an arithmetic number, because the mean of its divisors is an integer number (34949614560).

Almost surely, 21201132113012 is an apocalyptic number.

1201132113012 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 1201132113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677581498880).

1201132113012 is an abundant number, since it is smaller than the sum of its proper divisors (2154030884748).

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

1201132113012 is a wasteful number, since it uses less digits than its factorization.

1201132113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401750 (or 401742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1201132113012 its reverse (2103112311021), we get a palindrome (3304244424033).

The spelling of 1201132113012 in words is "one trillion, two hundred one billion, one hundred thirty-two million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2141 4282 6423 8564 12846 19269 25692 27833 38538 55666 57807 77076 83499 111332 115614 166998 231228 250497 333996 399583 500994 751491 799166 1001988 1198749 1502982 1598332 2397498 3005964 3596247 4794996 5194579 7192494 10389158 10788741 14384988 15583737 20778316 21577482 31167474 43154964 46751211 62334948 93502422 140253633 187004844 280507266 561014532 855507203 1711014406 2566521609 3422028812 5133043218 7699564827 10266086436 11121593639 15399129654 22243187278 23098694481 30798259308 33364780917 44486374556 46197388962 66729561834 92394777924 100094342751 133459123668 200188685502 300283028253 400377371004 600566056506 1201132113012