22151512240000 has 1280 divisors, whose sum is σ = 67740486105600. Its totient is φ = 7103877120000.

The previous prime is 22151512239991. The next prime is 22151512240019. The reversal of 22151512240000 is 4221515122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24973519557 + ... + 24973520443.

It is an arithmetic number, because the mean of its divisors is an integer number (52922254770).

Almost surely, 2^{22151512240000} is an apocalyptic number.

22151512240000 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 22151512240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33870243052800).

22151512240000 is an abundant number, since it is smaller than the sum of its proper divisors (45588973865600).

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

22151512240000 is a wasteful number, since it uses less digits than its factorization.

22151512240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 22151512240000 its reverse (4221515122), we get a palindrome (22155733755122).

It can be divided in two parts, 221515122 and 40000, that added together give a palindrome (221555122).

The spelling of 22151512240000 in words is "twenty-two trillion, one hundred fifty-one billion, five hundred twelve million, two hundred forty thousand".