122047248960 has 1120 divisors, whose sum is σ = 544006552320. Its totient is φ = 25285312512.

The previous prime is 122047248943. The next prime is 122047249021. The reversal of 122047248960 is 69842740221.

122047248960 is a `hidden beast` number, since 122 + 0 + 47 + 2 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139164042 + ... + 139164918.

It is an arithmetic number, because the mean of its divisors is an integer number (485720136).

Almost surely, 2^122047248960 is an apocalyptic number.

122047248960 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 122047248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272003276160).

122047248960 is an abundant number, since it is smaller than the sum of its proper divisors (421959303360).

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

122047248960 is a wasteful number, since it uses less digits than its factorization.

122047248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 122047248960 in words is "one hundred twenty-two billion, forty-seven million, two hundred forty-eight thousand, nine hundred sixty".