20125141200 has 240 divisors, whose sum is σ = 71738880640. Its totient is φ = 5358597120.

The previous prime is 20125141187. The next prime is 20125141273. The reversal of 20125141200 is 214152102.

20125141200 is a `hidden beast` number, since 2 + 0 + 1 + 251 + 412 + 0 + 0 = 666.

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

It is a super-3 number, since 3×20125141200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 11479524 + ... + 11481276.

Almost surely, 2^20125141200 is an apocalyptic number.

20125141200 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 20125141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35869440320).

20125141200 is an abundant number, since it is smaller than the sum of its proper divisors (51613739440).

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

20125141200 is a wasteful number, since it uses less digits than its factorization.

20125141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 20125141200 its reverse (214152102), we get a palindrome (20339293302).

The spelling of 20125141200 in words is "twenty billion, one hundred twenty-five million, one hundred forty-one thousand, two hundred".