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132123211332120 = 233351447208140627
BaseRepresentation
bin11110000010101001010101…
…000100111111101000011000
3122022210212002202201022202000
4132002221111010333220120
5114304201314100111440
61145000322041241000
736554405226230331
oct3602512504775030
9568725082638660
10132123211332120
113910a159396518
121299a444193160
13589521c40c428
14248ab2468d288
151041c64417730
hex782a5513fa18

132123211332120 has 256 divisors, whose sum is σ = 440937699148800. Its totient is φ = 35190722211840.

The previous prime is 132123211332071. The next prime is 132123211332193. The reversal of 132123211332120 is 21233112321231.

132123211332120 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 321 + 1 + 332 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3252083247 + ... + 3252123873.

It is an arithmetic number, because the mean of its divisors is an integer number (1722412887300).

Almost surely, 2132123211332120 is an apocalyptic number.

132123211332120 is a gapful number since it is divisible by the number (10) 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 132123211332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220468849574400).

132123211332120 is an abundant number, since it is smaller than the sum of its proper divisors (308814487816680).

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

132123211332120 is a wasteful number, since it uses less digits than its factorization.

132123211332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44175 (or 44165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132123211332120 its reverse (21233112321231), we get a palindrome (153356323653351).

The spelling of 132123211332120 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, two hundred eleven million, three hundred thirty-two thousand, one hundred twenty".