153214121200 has 240 divisors, whose sum is σ = 430429593600. Its totient is φ = 52388448000.

The previous prime is 153214121191. The next prime is 153214121219. The reversal of 153214121200 is 2121412351.

153214121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59131905 + ... + 59134495.

It is an arithmetic number, because the mean of its divisors is an integer number (1793456640).

Almost surely, 2^153214121200 is an apocalyptic number.

153214121200 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 153214121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215214796800).

153214121200 is an abundant number, since it is smaller than the sum of its proper divisors (277215472400).

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

153214121200 is a wasteful number, since it uses less digits than its factorization.

153214121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 153214121200 its reverse (2121412351), we get a palindrome (155335533551).

The spelling of 153214121200 in words is "one hundred fifty-three billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred".