125333622232200 has 384 divisors, whose sum is σ = 435631752604800. Its totient is φ = 33118414479360.

The previous prime is 125333622232199. The next prime is 125333622232211. The reversal of 125333622232200 is 2232226333521.

125333622232200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 3 + 622 + 2 + 3 + 2 + 20 + 0 = 666.

It is a super-2 number, since 2×125333622232200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2735503692 + ... + 2735549508.

It is an arithmetic number, because the mean of its divisors is an integer number (1134457689075).

Almost surely, 2^{125333622232200} is an apocalyptic number.

125333622232200 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 125333622232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217815876302400).

125333622232200 is an abundant number, since it is smaller than the sum of its proper divisors (310298130372600).

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

125333622232200 is a wasteful number, since it uses less digits than its factorization.

125333622232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50438 (or 50423 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 125333622232200 its reverse (2232226333521), we get a palindrome (127565848565721).

The spelling of 125333622232200 in words is "one hundred twenty-five trillion, three hundred thirty-three billion, six hundred twenty-two million, two hundred thirty-two thousand, two hundred".