121769197440 has 256 divisors, whose sum is σ = 423914480640. Its totient is φ = 29485670400.

The previous prime is 121769197427. The next prime is 121769197441. The reversal of 121769197440 is 44791967121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121769197441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21560697 + ... + 21566343.

It is an arithmetic number, because the mean of its divisors is an integer number (1655915940).

Almost surely, 2^121769197440 is an apocalyptic number.

121769197440 is a gapful number since it is divisible by the number (10) 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 121769197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211957240320).

121769197440 is an abundant number, since it is smaller than the sum of its proper divisors (302145283200).

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

121769197440 is a wasteful number, since it uses less digits than its factorization.

121769197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

It can be divided in two parts, 1217691 and 97440, that added together give a palindrome (1315131).

The spelling of 121769197440 in words is "one hundred twenty-one billion, seven hundred sixty-nine million, one hundred ninety-seven thousand, four hundred forty".