1295199201120 has 384 divisors, whose sum is σ = 4526708820480. Its totient is φ = 308650721280.

The previous prime is 1295199201067. The next prime is 1295199201143. The reversal of 1295199201120 is 211029915921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180060244 + ... + 180067436.

It is an arithmetic number, because the mean of its divisors is an integer number (11788304220).

Almost surely, 2^{1295199201120} is an apocalyptic number.

1295199201120 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 1295199201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263354410240).

1295199201120 is an abundant number, since it is smaller than the sum of its proper divisors (3231509619360).

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

1295199201120 is a wasteful number, since it uses less digits than its factorization.

1295199201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 42.

The spelling of 1295199201120 in words is "one trillion, two hundred ninety-five billion, one hundred ninety-nine million, two hundred one thousand, one hundred twenty".