2121476121336 has 384 divisors, whose sum is σ = 6547468515840. Its totient is φ = 567015820800.

The previous prime is 2121476121307. The next prime is 2121476121431. The reversal of 2121476121336 is 6331216741212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2121476121294 and 2121476121303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2254490626 + ... + 2254491566.

It is an arithmetic number, because the mean of its divisors is an integer number (17050699260).

Almost surely, 2^{2121476121336} is an apocalyptic number.

2121476121336 is a gapful number since it is divisible by the number (26) 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 2121476121336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273734257920).

2121476121336 is an abundant number, since it is smaller than the sum of its proper divisors (4425992394504).

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

2121476121336 is an equidigital number, since it uses as much as digits as its factorization.

2121476121336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 993 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The spelling of 2121476121336 in words is "two trillion, one hundred twenty-one billion, four hundred seventy-six million, one hundred twenty-one thousand, three hundred thirty-six".