1285920125100 has 720 divisors, whose sum is σ = 4779315104256. Its totient is φ = 296275968000.

The previous prime is 1285920125051. The next prime is 1285920125107. The reversal of 1285920125100 is 15210295821.

1285920125100 is a `hidden beast` number, since 1 + 2 + 8 + 592 + 0 + 12 + 51 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1285920125107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 341907220 + ... + 341910980.

Almost surely, 2^{1285920125100} is an apocalyptic number.

1285920125100 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 1285920125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389657552128).

1285920125100 is an abundant number, since it is smaller than the sum of its proper divisors (3493394979156).

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

1285920125100 is a wasteful number, since it uses less digits than its factorization.

1285920125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1285920125100 in words is "one trillion, two hundred eighty-five billion, nine hundred twenty million, one hundred twenty-five thousand, one hundred".