121961814000 has 320 divisors, whose sum is σ = 430410035328. Its totient is φ = 29528064000.

The previous prime is 121961813999. The next prime is 121961814019. The reversal of 121961814000 is 418169121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4745184 + ... + 4770816.

Almost surely, 2^121961814000 is an apocalyptic number.

121961814000 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 121961814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215205017664).

121961814000 is an abundant number, since it is smaller than the sum of its proper divisors (308448221328).

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

121961814000 is a wasteful number, since it uses less digits than its factorization.

121961814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25733 (or 25717 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 121961814000 in words is "one hundred twenty-one billion, nine hundred sixty-one million, eight hundred fourteen thousand".