21201392151120 has 160 divisors (see below), whose sum is σ = 66894365808000. Its totient is φ = 5553215905792.

The previous prime is 21201392151031. The next prime is 21201392151127. The reversal of 21201392151120 is 2115129310212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201392151127) 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 31 ways as a sum of consecutive naturals, for example, 16265356 + ... + 17520404.

It is an arithmetic number, because the mean of its divisors is an integer number (418089786300).

Almost surely, 2^{21201392151120} is an apocalyptic number.

21201392151120 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 21201392151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33447182904000).

21201392151120 is an abundant number, since it is smaller than the sum of its proper divisors (45692973656880).

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

21201392151120 is a wasteful number, since it uses less digits than its factorization.

21201392151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256317 (or 1256311 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 21201392151120 in words is "twenty-one trillion, two hundred one billion, three hundred ninety-two million, one hundred fifty-one thousand, one hundred twenty".