121335459840 has 1040 divisors, whose sum is σ = 510747249408. Its totient is φ = 27088846848.

The previous prime is 121335459829. The next prime is 121335459859. The reversal of 121335459840 is 48954533121.

121335459840 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 54 + 598 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2821754859 + ... + 2821754901.

Almost surely, 2^121335459840 is an apocalyptic number.

121335459840 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 121335459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255373624704).

121335459840 is an abundant number, since it is smaller than the sum of its proper divisors (389411789568).

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

121335459840 is an frugal number, since it uses more digits than its factorization.

121335459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 121335459840 in words is "one hundred twenty-one billion, three hundred thirty-five million, four hundred fifty-nine thousand, eight hundred forty".