2250121420800 has 2520 divisors, whose sum is σ = 9807840226800. Its totient is φ = 508015411200.

The previous prime is 2250121420763. The next prime is 2250121420847. The reversal of 2250121420800 is 80241210522.

2250121420800 is a `hidden beast` number, since 22 + 501 + 21 + 42 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 179 ways as a sum of consecutive naturals, for example, 38137651171 + ... + 38137651229.

It is an arithmetic number, because the mean of its divisors is an integer number (3892000090).

Almost surely, 2^{2250121420800} is an apocalyptic number.

2250121420800 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 2250121420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903920113400).

2250121420800 is an abundant number, since it is smaller than the sum of its proper divisors (7557718806000).

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

2250121420800 is a wasteful number, since it uses less digits than its factorization.

2250121420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 2250121420800 in words is "two trillion, two hundred fifty billion, one hundred twenty-one million, four hundred twenty thousand, eight hundred".