21244532316120 has 192 divisors, whose sum is σ = 70145896242240. Its totient is φ = 5575528320000.

The previous prime is 21244532316089. The next prime is 21244532316121. The reversal of 21244532316120 is 2161323544212.

It is a happy number.

21244532316120 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 5 + 3 + 2 + 31 + 612 + 0 = 666.

It is a super-2 number, since 2×21244532316120² (a number of 27 digits) contains 22 as substring.

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 (21244532316121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322770 + ... + 7821470.

It is an arithmetic number, because the mean of its divisors is an integer number (365343209595).

Almost surely, 2^{21244532316120} is an apocalyptic number.

21244532316120 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 21244532316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35072948121120).

21244532316120 is an abundant number, since it is smaller than the sum of its proper divisors (48901363926120).

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

21244532316120 is a wasteful number, since it uses less digits than its factorization.

21244532316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498986 (or 3498979 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21244532316120 in words is "twenty-one trillion, two hundred forty-four billion, five hundred thirty-two million, three hundred sixteen thousand, one hundred twenty".