220124051242400 has 288 divisors, whose sum is σ = 559410810416640. Its totient is φ = 84479151697920.

The previous prime is 220124051242393. The next prime is 220124051242457. The reversal of 220124051242400 is 4242150421022.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 2881657007 + ... + 2881733393.

It is an arithmetic number, because the mean of its divisors is an integer number (1942398647280).

Almost surely, 2^{220124051242400} is an apocalyptic number.

220124051242400 is a gapful number since it is divisible by the number (20) 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 220124051242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279705405208320).

220124051242400 is an abundant number, since it is smaller than the sum of its proper divisors (339286759174240).

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

220124051242400 is a wasteful number, since it uses less digits than its factorization.

220124051242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77216 (or 77203 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The spelling of 220124051242400 in words is "two hundred twenty trillion, one hundred twenty-four billion, fifty-one million, two hundred forty-two thousand, four hundred".