121261414389408 has 192 divisors, whose sum is σ = 354580324761600. Its totient is φ = 40317574901760.

The previous prime is 121261414389371. The next prime is 121261414389523. The reversal of 121261414389408 is 804983414162121.

121261414389408 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 14 + 143 + 89 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724197985 + ... + 724365407.

It is an arithmetic number, because the mean of its divisors is an integer number (1846772524800).

Almost surely, 2^{121261414389408} is an apocalyptic number.

121261414389408 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 121261414389408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177290162380800).

121261414389408 is an abundant number, since it is smaller than the sum of its proper divisors (233318910372192).

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

121261414389408 is a wasteful number, since it uses less digits than its factorization.

121261414389408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169572 (or 169558 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 121261414389408 in words is "one hundred twenty-one trillion, two hundred sixty-one billion, four hundred fourteen million, three hundred eighty-nine thousand, four hundred eight".