121968396288 has 144 divisors (see below), whose sum is σ = 358916545260. Its totient is φ = 39888715776.

The previous prime is 121968396247. The next prime is 121968396289. The reversal of 121968396288 is 882693869121.

121968396288 is a `hidden beast` number, since 1 + 2 + 196 + 83 + 96 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116603126784 + 5365269504 = 341472^2 + 73248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121968396288² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121968396289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914470 + ... + 1039322.

Almost surely, 2^121968396288 is an apocalyptic number.

121968396288 is a gapful number since it is divisible by the number (18) 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 121968396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179458272630).

121968396288 is an abundant number, since it is smaller than the sum of its proper divisors (236948148972).

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

121968396288 is a wasteful number, since it uses less digits than its factorization.

121968396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124934 (or 124911 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 121968396288 in words is "one hundred twenty-one billion, nine hundred sixty-eight million, three hundred ninety-six thousand, two hundred eighty-eight".