113505122400 has 72 divisors (see below), whose sum is σ = 369459181224. Its totient is φ = 30268032000.

The previous prime is 113505122287. The next prime is 113505122411. The reversal of 113505122400 is 4221505311.

It is a happy number.

It is a super-2 number, since 2×113505122400² (a number of 23 digits) contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 23644501 + ... + 23649300.

It is an arithmetic number, because the mean of its divisors is an integer number (5131377517).

Almost surely, 2^113505122400 is an apocalyptic number.

113505122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113505122400 is an abundant number, since it is smaller than the sum of its proper divisors (255954058824).

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

113505122400 is a wasteful number, since it uses less digits than its factorization.

113505122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47293824 (or 47293811 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 113505122400 its reverse (4221505311), we get a palindrome (117726627711).

The spelling of 113505122400 in words is "one hundred thirteen billion, five hundred five million, one hundred twenty-two thousand, four hundred".