1292121600 has 960 divisors, whose sum is σ = 5845340160. Its totient is φ = 243302400.

The previous prime is 1292121563. The next prime is 1292121613. The reversal of 1292121600 is 61212921.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56179189 + ... + 56179211.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^1292121600 is an apocalyptic number.

1292121600 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 1292121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922670080).

1292121600 is an abundant number, since it is smaller than the sum of its proper divisors (4553218560).

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

1292121600 is a wasteful number, since it uses less digits than its factorization.

1292121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1292121600 is about 35946.0929726723. The cubic root of 1292121600 is about 1089.1836886719.

The spelling of 1292121600 in words is "one billion, two hundred ninety-two million, one hundred twenty-one thousand, six hundred".