1121525609904 has 240 divisors, whose sum is σ = 3806471981312. Its totient is φ = 312983564544.

The previous prime is 1121525609899. The next prime is 1121525609909. The reversal of 1121525609904 is 4099065251211.

1121525609904 is a `hidden beast` number, since 1 + 1 + 2 + 15 + 25 + 609 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1121525609899) and next prime (1121525609909).

It is a self number, because there is not a number n which added to its sum of digits gives 1121525609904.

It is not an unprimeable number, because it can be changed into a prime (1121525609909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691122 + ... + 1649454.

Almost surely, 2^{1121525609904} is an apocalyptic number.

1121525609904 is a gapful number since it is divisible by the number (14) 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 1121525609904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903235990656).

1121525609904 is an abundant number, since it is smaller than the sum of its proper divisors (2684946371408).

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

1121525609904 is an equidigital number, since it uses as much as digits as its factorization.

1121525609904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958406 (or 958388 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1121525609904 in words is "one trillion, one hundred twenty-one billion, five hundred twenty-five million, six hundred nine thousand, nine hundred four".