123197607527040 has 384 divisors, whose sum is σ = 439198125649920. Its totient is φ = 31788712673280.

The previous prime is 123197607527017. The next prime is 123197607527107. The reversal of 123197607527040 is 40725706791321.

123197607527040 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 7 + 607 + 5 + 27 + 0 + 4 + 0 = 666.

123197607527040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1479685092 + ... + 1479768348.

It is an arithmetic number, because the mean of its divisors is an integer number (1143745118880).

Almost surely, 2^{123197607527040} is an apocalyptic number.

123197607527040 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 123197607527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219599062824960).

123197607527040 is an abundant number, since it is smaller than the sum of its proper divisors (316000518122880).

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

123197607527040 is a wasteful number, since it uses less digits than its factorization.

123197607527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91600 (or 91585 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 123197607527040 in words is "one hundred twenty-three trillion, one hundred ninety-seven billion, six hundred seven million, five hundred twenty-seven thousand, forty".