1290552120 has 576 divisors, whose sum is σ = 5176211040. Its totient is φ = 276756480.

The previous prime is 1290552097. The next prime is 1290552139. The reversal of 1290552120 is 212550921.

1290552120 is a `hidden beast` number, since 1 + 2 + 90 + 552 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24350014 + ... + 24350066.

Almost surely, 2^1290552120 is an apocalyptic number.

1290552120 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 1290552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588105520).

1290552120 is an abundant number, since it is smaller than the sum of its proper divisors (3885658920).

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

1290552120 is a wasteful number, since it uses less digits than its factorization.

1290552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1290552120 is about 35924.2553158726. The cubic root of 1290552120 is about 1088.7425164133.

It can be divided in two parts, 12905 and 52120, that added together give a square (65025 = 255²).

The spelling of 1290552120 in words is "one billion, two hundred ninety million, five hundred fifty-two thousand, one hundred twenty".