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20123400932712 = 233473118230753
BaseRepresentation
bin1001001001101010110000…
…01010100000110101101000
32122020210000102002101210000
410210311120022200311220
510114200211114321322
6110444321320223000
74144603430445000
oct444653012406550
978223012071700
1020123400932712
116459317235250
12231007230aa60
13b2c822c5c60c
144d7d99135000
1524d6c86ca3ac
hex124d582a0d68

20123400932712 has 320 divisors, whose sum is σ = 71706328848000. Its totient is φ = 5226856750080.

The previous prime is 20123400932689. The next prime is 20123400932737. The reversal of 20123400932712 is 21723900432102.

20123400932712 is a `hidden beast` number, since 20 + 123 + 400 + 93 + 27 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1670473 + ... + 6560280.

It is an arithmetic number, because the mean of its divisors is an integer number (224082277650).

Almost surely, 220123400932712 is an apocalyptic number.

20123400932712 is a gapful number since it is divisible by the number (22) 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 20123400932712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35853164424000).

20123400932712 is an abundant number, since it is smaller than the sum of its proper divisors (51582927915288).

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

20123400932712 is a wasteful number, since it uses less digits than its factorization.

20123400932712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230803 (or 8230776 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20123400932712 in words is "twenty trillion, one hundred twenty-three billion, four hundred million, nine hundred thirty-two thousand, seven hundred twelve".