1264129132500 has 720 divisors, whose sum is σ = 4536695042880. Its totient is φ = 305783424000.

The previous prime is 1264129132471. The next prime is 1264129132501. The reversal of 1264129132500 is 52319214621.

1264129132500 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 12 + 9 + 132 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264129132501) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 465951144 + ... + 465953856.

Almost surely, 2^{1264129132500} is an apocalyptic number.

1264129132500 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 1264129132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268347521440).

1264129132500 is an abundant number, since it is smaller than the sum of its proper divisors (3272565910380).

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

1264129132500 is a wasteful number, since it uses less digits than its factorization.

1264129132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1264129132500 in words is "one trillion, two hundred sixty-four billion, one hundred twenty-nine million, one hundred thirty-two thousand, five hundred".