31340212485120 has 2816 divisors, whose sum is σ = 142071195893760. Its totient is φ = 6443275714560.

The previous prime is 31340212485097. The next prime is 31340212485121. The reversal of 31340212485120 is 2158421204313.

31340212485120 is a `hidden beast` number, since 3 + 1 + 3 + 40 + 2 + 12 + 485 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×31340212485120² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31340212485121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 140539069329 + ... + 140539069551.

Almost surely, 2^{31340212485120} is an apocalyptic number.

31340212485120 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 31340212485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71035597946880).

31340212485120 is an abundant number, since it is smaller than the sum of its proper divisors (110730983408640).

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

31340212485120 is a wasteful number, since it uses less digits than its factorization.

31340212485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 31340212485120 its reverse (2158421204313), we get a palindrome (33498633689433).

The spelling of 31340212485120 in words is "thirty-one trillion, three hundred forty billion, two hundred twelve million, four hundred eighty-five thousand, one hundred twenty".