113214122144420 has 144 divisors (see below), whose sum is σ = 267530865671664. Its totient is φ = 40202781696000.

The previous prime is 113214122144377. The next prime is 113214122144437. The reversal of 113214122144420 is 24441221412311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 758108041636 + 112456014102784 = 870694^2 + 10604528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14670092 + ... + 21015228.

It is an arithmetic number, because the mean of its divisors is an integer number (1857853233831).

Almost surely, 2^{113214122144420} is an apocalyptic number.

113214122144420 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 113214122144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133765432835832).

113214122144420 is an abundant number, since it is smaller than the sum of its proper divisors (154316743527244).

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

113214122144420 is a wasteful number, since it uses less digits than its factorization.

113214122144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345342 (or 6345329 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 113214122144420 its reverse (24441221412311), we get a palindrome (137655343556731).

The spelling of 113214122144420 in words is "one hundred thirteen trillion, two hundred fourteen billion, one hundred twenty-two million, one hundred forty-four thousand, four hundred twenty".