22231302213120 has 1280 divisors, whose sum is σ = 98003859351552. Its totient is φ = 4148845608960.

The previous prime is 22231302213103. The next prime is 22231302213121. The reversal of 22231302213120 is 2131220313222.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231302213121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284405082 + ... + 284483238.

Almost surely, 2^{22231302213120} is an apocalyptic number.

22231302213120 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 22231302213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49001929675776).

22231302213120 is an abundant number, since it is smaller than the sum of its proper divisors (75772557138432).

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

22231302213120 is a wasteful number, since it uses less digits than its factorization.

22231302213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78251 (or 78235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22231302213120 its reverse (2131220313222), we get a palindrome (24362522526342).

It can be divided in two parts, 22231302 and 213120, that added together give a palindrome (22444422).

The spelling of 22231302213120 in words is "twenty-two trillion, two hundred thirty-one billion, three hundred two million, two hundred thirteen thousand, one hundred twenty".