31146081120 has 1440 divisors, whose sum is σ = 145688336640. Its totient is φ = 6085601280.

The previous prime is 31146081079. The next prime is 31146081133. The reversal of 31146081120 is 2118064113.

It is a happy number.

31146081120 is a `hidden beast` number, since 3 + 1 + 1 + 460 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×31146081120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 527899651 + ... + 527899709.

It is an arithmetic number, because the mean of its divisors is an integer number (101172456).

Almost surely, 2^31146081120 is an apocalyptic number.

31146081120 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 31146081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72844168320).

31146081120 is an abundant number, since it is smaller than the sum of its proper divisors (114542255520).

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

31146081120 is a wasteful number, since it uses less digits than its factorization.

31146081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 31146081120 in words is "thirty-one billion, one hundred forty-six million, eighty-one thousand, one hundred twenty".