1507112120 has 128 divisors (see below), whose sum is σ = 3640412160. Its totient is φ = 560494080.

The previous prime is 1507112119. The next prime is 1507112161. The reversal of 1507112120 is 212117051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1507112092 and 1507112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4909007 + ... + 4909313.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 2^1507112120 is an apocalyptic number.

1507112120 is a gapful number since it is divisible by the number (10) 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 1507112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1507112120 is an abundant number, since it is smaller than the sum of its proper divisors (2133300040).

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

1507112120 is a wasteful number, since it uses less digits than its factorization.

1507112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1507112120 is about 38821.5419580418. The cubic root of 1507112120 is about 1146.5205784833.

Adding to 1507112120 its reverse (212117051), we get a palindrome (1719229171).

The spelling of 1507112120 in words is "one billion, five hundred seven million, one hundred twelve thousand, one hundred twenty".