21622148781120 has 336 divisors, whose sum is σ = 77862667296960. Its totient is φ = 5500006944768.

The previous prime is 21622148781097. The next prime is 21622148781133. The reversal of 21622148781120 is 2118784122612.

21622148781120 is a `hidden beast` number, since 2 + 1 + 62 + 21 + 487 + 81 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5372607 + ... + 8491713.

It is an arithmetic number, because the mean of its divisors is an integer number (231734128860).

Almost surely, 2^{21622148781120} is an apocalyptic number.

21622148781120 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 21622148781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38931333648480).

21622148781120 is an abundant number, since it is smaller than the sum of its proper divisors (56240518515840).

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

21622148781120 is a wasteful number, since it uses less digits than its factorization.

21622148781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119242 (or 3119229 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21622148781120 in words is "twenty-one trillion, six hundred twenty-two billion, one hundred forty-eight million, seven hundred eighty-one thousand, one hundred twenty".