21402112314120 has 256 divisors, whose sum is σ = 65020221504000. Its totient is φ = 5635221504000.

The previous prime is 21402112314101. The next prime is 21402112314173. The reversal of 21402112314120 is 2141321120412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8958605886 + ... + 8958608274.

It is an arithmetic number, because the mean of its divisors is an integer number (253985240250).

Almost surely, 2^{21402112314120} is an apocalyptic number.

21402112314120 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 21402112314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32510110752000).

21402112314120 is an abundant number, since it is smaller than the sum of its proper divisors (43618109189880).

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

21402112314120 is a wasteful number, since it uses less digits than its factorization.

21402112314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21402112314120 its reverse (2141321120412), we get a palindrome (23543433434532).

The spelling of 21402112314120 in words is "twenty-one trillion, four hundred two billion, one hundred twelve million, three hundred fourteen thousand, one hundred twenty".