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1201123120032 = 253211379142399
BaseRepresentation
bin10001011110101000100…
…001000101001110100000
311020211022100001112000200
4101132220201011032200
5124134400004320112
62315442140545200
7152530644031323
oct21365041051640
94224270045020
101201123120032
11423436762870
12174951852200
138935b1a1c84
14421c57647ba
152139d5dbcdc
hex117a88453a0

1201123120032 has 72 divisors (see below), whose sum is σ = 3726211507200. Its totient is φ = 363976702080.

The previous prime is 1201123120031. The next prime is 1201123120039. The reversal of 1201123120032 is 2300213211021.

1201123120032 is a `hidden beast` number, since 1 + 201 + 1 + 231 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1201123119987 and 1201123120014.

It is not an unprimeable number, because it can be changed into a prime (1201123120031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189568032 + ... + 189574367.

It is an arithmetic number, because the mean of its divisors is an integer number (51752937600).

Almost surely, 21201123120032 is an apocalyptic number.

1201123120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201123120032 is an abundant number, since it is smaller than the sum of its proper divisors (2525088387168).

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

1201123120032 is a wasteful number, since it uses less digits than its factorization.

1201123120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379142426 (or 379142415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1201123120032 its reverse (2300213211021), we get a palindrome (3501336331053).

The spelling of 1201123120032 in words is "one trillion, two hundred one billion, one hundred twenty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 379142399 758284798 1137427197 1516569596 2274854394 3033139192 3412281591 4170566389 4549708788 6066278384 6824563182 8341132778 9099417576 12132556768 12511699167 13649126364 16682265556 18198835152 25023398334 27298252728 33364531112 36397670304 37535097501 50046796668 54596505456 66729062224 75070195002 100093593336 109193010912 133458124448 150140390004 200187186672 300280780008 400374373344 600561560016 1201123120032