31200120220032 has 384 divisors, whose sum is σ = 97752202329600. Its totient is φ = 9519008440320.

The previous prime is 31200120219997. The next prime is 31200120220043. The reversal of 31200120220032 is 23002202100213.

31200120220032 is a `hidden beast` number, since 31 + 200 + 1 + 202 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31200120219987 and 31200120220014.

It is a congruent number.

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, 92264253 + ... + 92601795.

It is an arithmetic number, because the mean of its divisors is an integer number (254563026900).

Almost surely, 2^{31200120220032} is an apocalyptic number.

31200120220032 is a gapful number since it is divisible by the number (32) 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 31200120220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48876101164800).

31200120220032 is an abundant number, since it is smaller than the sum of its proper divisors (66552082109568).

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

31200120220032 is a wasteful number, since it uses less digits than its factorization.

31200120220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337726 (or 337711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31200120220032 its reverse (23002202100213), we get a palindrome (54202322320245).

The spelling of 31200120220032 in words is "thirty-one trillion, two hundred billion, one hundred twenty million, two hundred twenty thousand, thirty-two".