121942030573440 has 1536 divisors, whose sum is σ = 542918873548800. Its totient is φ = 25320188805120.

The previous prime is 121942030573423. The next prime is 121942030573463. The reversal of 121942030573440 is 44375030249121.

121942030573440 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 4 + 2 + 0 + 30 + 573 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30926204109 + ... + 30926208051.

It is an arithmetic number, because the mean of its divisors is an integer number (353462808300).

Almost surely, 2^{121942030573440} is an apocalyptic number.

121942030573440 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 121942030573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271459436774400).

121942030573440 is an abundant number, since it is smaller than the sum of its proper divisors (420976842975360).

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

121942030573440 is a wasteful number, since it uses less digits than its factorization.

121942030573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 121942030573440 in words is "one hundred twenty-one trillion, nine hundred forty-two billion, thirty million, five hundred seventy-three thousand, four hundred forty".