1295129123904 has 672 divisors, whose sum is σ = 4591110813696. Its totient is φ = 311949066240.

The previous prime is 1295129123903. The next prime is 1295129123917. The reversal of 1295129123904 is 4093219215921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1295129123903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1339326429 + ... + 1339327395.

Almost surely, 2^{1295129123904} is an apocalyptic number.

1295129123904 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 1295129123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295555406848).

1295129123904 is an abundant number, since it is smaller than the sum of its proper divisors (3295981689792).

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

1295129123904 is a wasteful number, since it uses less digits than its factorization.

1295129123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 1295129123904 in words is "one trillion, two hundred ninety-five billion, one hundred twenty-nine million, one hundred twenty-three thousand, nine hundred four".