2121379130880 has 320 divisors, whose sum is σ = 7538053248000. Its totient is φ = 565495603200.

The previous prime is 2121379130831. The next prime is 2121379130891. The reversal of 2121379130880 is 880319731212.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342210021 + ... + 342216219.

It is an arithmetic number, because the mean of its divisors is an integer number (23556416400).

Almost surely, 2^{2121379130880} is an apocalyptic number.

2121379130880 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 2121379130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769026624000).

2121379130880 is an abundant number, since it is smaller than the sum of its proper divisors (5416674117120).

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

2121379130880 is an equidigital number, since it uses as much as digits as its factorization.

2121379130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2121379130880 in words is "two trillion, one hundred twenty-one billion, three hundred seventy-nine million, one hundred thirty thousand, eight hundred eighty".