122048496000 has 384 divisors, whose sum is σ = 450172438560. Its totient is φ = 31665254400.

The previous prime is 122048495993. The next prime is 122048496077. The reversal of 122048496000 is 694840221.

122048496000 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 8 + 49 + 600 + 0 = 666.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316547 + ... + 5339453.

Almost surely, 2^122048496000 is an apocalyptic number.

122048496000 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 122048496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225086219280).

122048496000 is an abundant number, since it is smaller than the sum of its proper divisors (328123942560).

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

122048496000 is a wasteful number, since it uses less digits than its factorization.

122048496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22979 (or 22954 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 122048496000 in words is "one hundred twenty-two billion, forty-eight million, four hundred ninety-six thousand".