31121034120 has 384 divisors, whose sum is σ = 115543584000. Its totient is φ = 7190937600.

The previous prime is 31121034101. The next prime is 31121034127. The reversal of 31121034120 is 2143012113.

31121034120 is a `hidden beast` number, since 311 + 2 + 10 + 341 + 2 + 0 = 666.

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 = 31121034093 and 31121034102.

It is not an unprimeable number, because it can be changed into a prime (31121034127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40894540 + ... + 40895300.

It is an arithmetic number, because the mean of its divisors is an integer number (300894750).

Almost surely, 2^31121034120 is an apocalyptic number.

31121034120 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 31121034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57771792000).

31121034120 is an abundant number, since it is smaller than the sum of its proper divisors (84422549880).

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

31121034120 is a wasteful number, since it uses less digits than its factorization.

31121034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31121034120 its reverse (2143012113), we get a palindrome (33264046233).

The spelling of 31121034120 in words is "thirty-one billion, one hundred twenty-one million, thirty-four thousand, one hundred twenty".