30222183700800 has 1512 divisors, whose sum is σ = 135630875068416. Its totient is φ = 6326095749120.

The previous prime is 30222183700799. The next prime is 30222183700801. The reversal of 30222183700800 is 800738122203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30222183700799) and next prime (30222183700801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222183700801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1164932629 + ... + 1164958571.

Almost surely, 2^{30222183700800} is an apocalyptic number.

30222183700800 is a gapful number since it is divisible by the number (30) 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 30222183700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67815437534208).

30222183700800 is an abundant number, since it is smaller than the sum of its proper divisors (105408691367616).

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

30222183700800 is a wasteful number, since it uses less digits than its factorization.

30222183700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26125 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30222183700800 in words is "thirty trillion, two hundred twenty-two billion, one hundred eighty-three million, seven hundred thousand, eight hundred".