21144109029120 has 2592 divisors, whose sum is σ = 99710137537920. Its totient is φ = 4032980582400.

The previous prime is 21144109029077. The next prime is 21144109029143. The reversal of 21144109029120 is 2192090144112.

21144109029120 is a `hidden beast` number, since 2 + 1 + 1 + 441 + 0 + 90 + 2 + 9 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6800934126 + ... + 6800937234.

It is an arithmetic number, because the mean of its divisors is an integer number (38468417260).

Almost surely, 2^{21144109029120} is an apocalyptic number.

21144109029120 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 21144109029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49855068768960).

21144109029120 is an abundant number, since it is smaller than the sum of its proper divisors (78566028508800).

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

21144109029120 is a wasteful number, since it uses less digits than its factorization.

21144109029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 21144109029120 in words is "twenty-one trillion, one hundred forty-four billion, one hundred nine million, twenty-nine thousand, one hundred twenty".