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121001924232 = 233271921535869
BaseRepresentation
bin111000010110001000…
…1101101011010001000
3102120022211110122011100
41300230101231122020
53440302443033412
6131330523101400
711512353246210
oct1605421553210
9376284418140
10121001924232
1147353482682
121b54b371860
13b544949347
145bdc435240
153232e16edc
hex1c2c46d688

121001924232 has 192 divisors, whose sum is σ = 394492176000. Its totient is φ = 32731610112.

The previous prime is 121001924231. The next prime is 121001924291. The reversal of 121001924232 is 232429100121.

It is a junction number, because it is equal to n+sod(n) for n = 121001924196 and 121001924205.

It is not an unprimeable number, because it can be changed into a prime (121001924231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20614194 + ... + 20620062.

It is an arithmetic number, because the mean of its divisors is an integer number (2054646750).

Almost surely, 2121001924232 is an apocalyptic number.

121001924232 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 121001924232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197246088000).

121001924232 is an abundant number, since it is smaller than the sum of its proper divisors (273490251768).

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

121001924232 is a wasteful number, since it uses less digits than its factorization.

121001924232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121001924232 in words is "one hundred twenty-one billion, one million, nine hundred twenty-four thousand, two hundred thirty-two".