253002120000 has 560 divisors, whose sum is σ = 962059942272. Its totient is φ = 57461760000.

The previous prime is 253002119977. The next prime is 253002120001. The reversal of 253002120000 is 21200352.

253002120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253002120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145319130 + ... + 145320870.

Almost surely, 2^253002120000 is an apocalyptic number.

253002120000 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 253002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481029971136).

253002120000 is an abundant number, since it is smaller than the sum of its proper divisors (709057822272).

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

253002120000 is a wasteful number, since it uses less digits than its factorization.

253002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 253002120000 its reverse (21200352), we get a palindrome (253023320352).

The spelling of 253002120000 in words is "two hundred fifty-three billion, two million, one hundred twenty thousand".