2126519761212 has 768 divisors, whose sum is σ = 7461922406400. Its totient is φ = 507523968000.

The previous prime is 2126519761141. The next prime is 2126519761231. The reversal of 2126519761212 is 2121679156212.

2126519761212 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 5 + 19 + 7 + 612 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 456038793 + ... + 456043455.

It is an arithmetic number, because the mean of its divisors is an integer number (9716044800).

Almost surely, 2^{2126519761212} is an apocalyptic number.

2126519761212 is a gapful number since it is divisible by the number (22) 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 2126519761212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730961203200).

2126519761212 is an abundant number, since it is smaller than the sum of its proper divisors (5335402645188).

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

2126519761212 is a wasteful number, since it uses less digits than its factorization.

2126519761212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4807 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 2126519761212 in words is "two trillion, one hundred twenty-six billion, five hundred nineteen million, seven hundred sixty-one thousand, two hundred twelve".