103222251622800 has 1920 divisors, whose sum is σ = 406818139115520. Its totient is φ = 24777794764800.

The previous prime is 103222251622781. The next prime is 103222251622813. The reversal of 103222251622800 is 8226152222301.

103222251622800 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 2 + 25 + 1 + 622 + 8 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 42286869580 + ... + 42286872020.

It is an arithmetic number, because the mean of its divisors is an integer number (211884447456).

Almost surely, 2^{103222251622800} is an apocalyptic number.

103222251622800 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 103222251622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203409069557760).

103222251622800 is an abundant number, since it is smaller than the sum of its proper divisors (303595887492720).

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

103222251622800 is a wasteful number, since it uses less digits than its factorization.

103222251622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 103222251622800 in words is "one hundred three trillion, two hundred twenty-two billion, two hundred fifty-one million, six hundred twenty-two thousand, eight hundred".