200129125219920 has 2560 divisors, whose sum is σ = 806348390400000. Its totient is φ = 45213919027200.

The previous prime is 200129125219819. The next prime is 200129125219921. The reversal of 200129125219920 is 29912521921002.

It is a happy number.

200129125219920 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 9 + 12 + 521 + 99 + 20 = 666.

It is a super-2 number, since 2×200129125219920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200129125219921) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1005673995981 + ... + 1005673996179.

It is an arithmetic number, because the mean of its divisors is an integer number (314979840000).

Almost surely, 2^{200129125219920} is an apocalyptic number.

200129125219920 is a gapful number since it is divisible by the number (20) 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 200129125219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403174195200000).

200129125219920 is an abundant number, since it is smaller than the sum of its proper divisors (606219265180080).

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

200129125219920 is a wasteful number, since it uses less digits than its factorization.

200129125219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 200129125219920 in words is "two hundred trillion, one hundred twenty-nine billion, one hundred twenty-five million, two hundred nineteen thousand, nine hundred twenty".