21912111930240 has 3072 divisors, whose sum is σ = 99913357440000. Its totient is φ = 4506447052800.

The previous prime is 21912111930239. The next prime is 21912111930257. The reversal of 21912111930240 is 4203911121912.

21912111930240 is a `hidden beast` number, since 2 + 1 + 91 + 211 + 19 + 302 + 40 = 666.

It is a super-2 number, since 2×21912111930240² (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 junction number, because it is equal to n+sod(n) for n = 21912111930195 and 21912111930204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31258361890 + ... + 31258362590.

It is an arithmetic number, because the mean of its divisors is an integer number (32523879375).

Almost surely, 2^{21912111930240} is an apocalyptic number.

21912111930240 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 21912111930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956678720000).

21912111930240 is an abundant number, since it is smaller than the sum of its proper divisors (78001245509760).

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

21912111930240 is a wasteful number, since it uses less digits than its factorization.

21912111930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 21912111930240 in words is "twenty-one trillion, nine hundred twelve billion, one hundred eleven million, nine hundred thirty thousand, two hundred forty".