1292132400 has 240 divisors, whose sum is σ = 4503107616. Its totient is φ = 314818560.

The previous prime is 1292132383. The next prime is 1292132419. The reversal of 1292132400 is 42312921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1292132400² = 3339212278259520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762434 + ... + 1763166.

Almost surely, 2^1292132400 is an apocalyptic number.

1292132400 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 1292132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251553808).

1292132400 is an abundant number, since it is smaller than the sum of its proper divisors (3210975216).

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

1292132400 is a wasteful number, since it uses less digits than its factorization.

1292132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1292132400 is about 35946.2431973078. The cubic root of 1292132400 is about 1089.1867232549.

The spelling of 1292132400 in words is "one billion, two hundred ninety-two million, one hundred thirty-two thousand, four hundred".