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132122011012200 = 2332521123290122993
BaseRepresentation
bin11110000010101000001101…
…100010001000110001101000
3122022210202000010002202100200
4132002220031202020301220
5114304141334304342300
61145000003002232200
736554333412540336
oct3602501542106150
9568722003082320
10132122011012200
11391096a2891390
121299a16a1b5660
13589508a835461
14248aa4d0b8b56
151041be3d67200
hex782a0d888c68

132122011012200 has 288 divisors, whose sum is σ = 505092527634240. Its totient is φ = 30636987955200.

The previous prime is 132122011012171. The next prime is 132122011012219. The reversal of 132122011012200 is 2210110221231.

132122011012200 is a `hidden beast` number, since 1 + 321 + 2 + 20 + 1 + 101 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144606097 + ... + 145516896.

It is an arithmetic number, because the mean of its divisors is an integer number (1753793498730).

Almost surely, 2132122011012200 is an apocalyptic number.

132122011012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122011012200 is an abundant number, since it is smaller than the sum of its proper divisors (372970516622040).

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

132122011012200 is a wasteful number, since it uses less digits than its factorization.

132122011012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290123049 (or 290123037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132122011012200 its reverse (2210110221231), we get a palindrome (134332121233431).

The spelling of 132122011012200 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, eleven million, twelve thousand, two hundred".