121021122083736 has 256 divisors, whose sum is σ = 354398457600000. Its totient is φ = 33729065459712.

The previous prime is 121021122083707. The next prime is 121021122083737. The reversal of 121021122083736 is 637380221120121.

It is a super-2 number, since 2×121021122083736² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021122083694 and 121021122083703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021122083737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308122885 + ... + 308515403.

It is an arithmetic number, because the mean of its divisors is an integer number (1384368975000).

Almost surely, 2^{121021122083736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021122083736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177199228800000).

121021122083736 is an abundant number, since it is smaller than the sum of its proper divisors (233377335516264).

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

121021122083736 is a wasteful number, since it uses less digits than its factorization.

121021122083736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392906 (or 392902 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 121021122083736 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, eighty-three thousand, seven hundred thirty-six".