122648745450000 has 960 divisors, whose sum is σ = 515217527967744. Its totient is φ = 24377337600000.

The previous prime is 122648745449911. The next prime is 122648745450047. The reversal of 122648745450000 is 54547846221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265419154 + ... + 265880846.

Almost surely, 2^{122648745450000} is an apocalyptic number.

122648745450000 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 122648745450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257608763983872).

122648745450000 is an abundant number, since it is smaller than the sum of its proper divisors (392568782517744).

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

122648745450000 is a wasteful number, since it uses less digits than its factorization.

122648745450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461770 (or 461744 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 122648745450000 in words is "one hundred twenty-two trillion, six hundred forty-eight billion, seven hundred forty-five million, four hundred fifty thousand".