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12112540632504 = 23321359832642587
BaseRepresentation
bin1011000001000010101110…
…1011101000010110111000
31120212221120210010120202200
42300100223223220112320
53041422440400220004
641432231354230200
72360050022422554
oct260205353502670
946787523116680
1012112540632504
11394a9994607a4
1214375a9425360
1369b291374620
142dc37038c864
1516011d0bd239
hexb042bae85b8

12112540632504 has 192 divisors, whose sum is σ = 36359896809600. Its totient is φ = 3619624036608.

The previous prime is 12112540632481. The next prime is 12112540632527. The reversal of 12112540632504 is 40523604521121.

12112540632504 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 540 + 63 + 2 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12112540632481) and next prime (12112540632527).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262299 + ... + 5904885.

It is an arithmetic number, because the mean of its divisors is an integer number (189374462550).

Almost surely, 212112540632504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112540632504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179948404800).

12112540632504 is an abundant number, since it is smaller than the sum of its proper divisors (24247356177096).

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

12112540632504 is a wasteful number, since it uses less digits than its factorization.

12112540632504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642754 (or 2642747 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12112540632504 in words is "twelve trillion, one hundred twelve billion, five hundred forty million, six hundred thirty-two thousand, five hundred four".