31621120000 has 190 divisors, whose sum is σ = 79436820518. Its totient is φ = 12582912000.

The previous prime is 31621119991. The next prime is 31621120031. The reversal of 31621120000 is 2112613.

It can be written as a sum of positive squares in 5 ways, for example, as 16647192576 + 14973927424 = 129024^2 + 122368^2 .

It is a super-3 number, since 3×31621120000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163839904 + ... + 163840096.

Almost surely, 2^31621120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31621120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39718410259).

31621120000 is an abundant number, since it is smaller than the sum of its proper divisors (47815700518).

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

31621120000 is an frugal number, since it uses more digits than its factorization.

31621120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31621120000 its reverse (2112613), we get a palindrome (31623232613).

The spelling of 31621120000 in words is "thirty-one billion, six hundred twenty-one million, one hundred twenty thousand".