32122131113400 has 192 divisors, whose sum is σ = 101037283200000. Its totient is φ = 8440850296320.

The previous prime is 32122131113399. The next prime is 32122131113441. The reversal of 32122131113400 is 431113122123.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23460901 + ... + 24792299.

It is an arithmetic number, because the mean of its divisors is an integer number (526235850000).

Almost surely, 2^{32122131113400} is an apocalyptic number.

32122131113400 is a gapful number since it is divisible by the number (30) 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 32122131113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50518641600000).

32122131113400 is an abundant number, since it is smaller than the sum of its proper divisors (68915152086600).

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

32122131113400 is a wasteful number, since it uses less digits than its factorization.

32122131113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332006 (or 1331997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32122131113400 its reverse (431113122123), we get a palindrome (32553244235523).

The spelling of 32122131113400 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred thirteen thousand, four hundred".