121208412864 has 224 divisors, whose sum is σ = 400109838336. Its totient is φ = 31460705280.

The previous prime is 121208412859. The next prime is 121208412889. The reversal of 121208412864 is 468214802121.

It is a tau number, because it is divible by the number of its divisors (224).

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, 40905847 + ... + 40908809.

Almost surely, 2^121208412864 is an apocalyptic number.

121208412864 is a gapful number since it is divisible by the number (14) 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 121208412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200054919168).

121208412864 is an abundant number, since it is smaller than the sum of its proper divisors (278901425472).

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

121208412864 is a wasteful number, since it uses less digits than its factorization.

121208412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 121208412864 in words is "one hundred twenty-one billion, two hundred eight million, four hundred twelve thousand, eight hundred sixty-four".