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1201112229432 = 2331973110332713
BaseRepresentation
bin10001011110100111110…
…111100010011000111000
311020211021120120012221010
4101132213313202120320
5124134334212320212
62315441111313520
7152530452332313
oct21364767423070
94224246505833
101201112229432
114234305a4575
1217494a07b8a0
1389358b5ac2b
14421c412b97a
152139c68a03c
hex117a7de2638

1201112229432 has 128 divisors (see below), whose sum is σ = 3207123532800. Its totient is φ = 373752133632.

The previous prime is 1201112229341. The next prime is 1201112229587. The reversal of 1201112229432 is 2349222111021.

It is a happy number.

It is a super-2 number, since 2×12011122294322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1201112229432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36700308 + ... + 36733020.

It is an arithmetic number, because the mean of its divisors is an integer number (25055652600).

Almost surely, 21201112229432 is an apocalyptic number.

1201112229432 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 1201112229432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603561766400).

1201112229432 is an abundant number, since it is smaller than the sum of its proper divisors (2006011303368).

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

1201112229432 is a wasteful number, since it uses less digits than its factorization.

1201112229432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33917 (or 33913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1201112229432 in words is "one trillion, two hundred one billion, one hundred twelve million, two hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1103 1387 1752 2206 2774 3309 4161 4412 5548 6618 8322 8824 11096 13236 16644 20957 26472 32713 33288 41914 62871 65426 80519 83828 98139 125742 130852 161038 167656 196278 241557 251484 261704 322076 392556 483114 502968 621547 644152 785112 966228 1243094 1529861 1864641 1932456 2388049 2486188 3059722 3729282 4589583 4776098 4972376 6119444 7164147 7458564 9179166 9552196 12238888 14328294 14917128 18358332 19104392 28656588 36082439 36716664 45372931 57313176 72164878 90745862 108247317 136118793 144329756 181491724 216494634 272237586 288659512 362983448 432989268 544475172 685566341 865978536 1088950344 1371132682 2056699023 2634018047 2742265364 4113398046 5268036094 5484530728 7902054141 8226796092 10536072188 15804108282 16453592184 21072144376 31608216564 50046342893 63216433128 100092685786 150139028679 200185371572 300278057358 400370743144 600556114716 1201112229432