121262353344 has 448 divisors, whose sum is σ = 396899343360. Its totient is φ = 35997696000.

The previous prime is 121262353301. The next prime is 121262353391. The reversal of 121262353344 is 443353262121.

121262353344 is a `hidden beast` number, since 1 + 2 + 1 + 262 + 3 + 53 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121262353299 and 121262353308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389910949 + ... + 389911259.

Almost surely, 2^121262353344 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 121262353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198449671680).

121262353344 is an abundant number, since it is smaller than the sum of its proper divisors (275636990016).

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

121262353344 is a wasteful number, since it uses less digits than its factorization.

121262353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 121262353344 in words is "one hundred twenty-one billion, two hundred sixty-two million, three hundred fifty-three thousand, three hundred forty-four".