1015120000 has 80 divisors (see below), whose sum is σ = 2527276950. Its totient is φ = 406016000.

The previous prime is 1015119979. The next prime is 1015120013. The reversal of 1015120000 is 215101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 13017664 + 1002102336 = 3608^2 + 31656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1015120000² = 2060937228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 73656 + ... + 86344.

Almost surely, 2^1015120000 is an apocalyptic number.

1015120000 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 1015120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263638475).

1015120000 is an abundant number, since it is smaller than the sum of its proper divisors (1512156950).

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

1015120000 is an frugal number, since it uses more digits than its factorization.

1015120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1015120000 is about 31860.9478829491. The cubic root of 1015120000 is about 1005.0148096462.

Adding to 1015120000 its reverse (215101), we get a palindrome (1015335101).

The spelling of 1015120000 in words is "one billion, fifteen million, one hundred twenty thousand".