21967701120 has 512 divisors, whose sum is σ = 83850854400. Its totient is φ = 5419560960.

The previous prime is 21967701109. The next prime is 21967701137. The reversal of 21967701120 is 2110776912.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12319749 + ... + 12321531.

It is an arithmetic number, because the mean of its divisors is an integer number (163771200).

Almost surely, 2^21967701120 is an apocalyptic number.

21967701120 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 21967701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41925427200).

21967701120 is an abundant number, since it is smaller than the sum of its proper divisors (61883153280).

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

21967701120 is a wasteful number, since it uses less digits than its factorization.

21967701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 21967701120 in words is "twenty-one billion, nine hundred sixty-seven million, seven hundred one thousand, one hundred twenty".