121000395479040 has 4608 divisors, whose sum is σ = 560665555107840. Its totient is φ = 23410114560000.

The previous prime is 121000395478973. The next prime is 121000395479053. The reversal of 121000395479040 is 40974593000121.

121000395479040 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 0 + 3 + 9 + 547 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 952759019457 + ... + 952759019583.

It is an arithmetic number, because the mean of its divisors is an integer number (121672212480).

Almost surely, 2^{121000395479040} is an apocalyptic number.

121000395479040 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 121000395479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280332777553920).

121000395479040 is an abundant number, since it is smaller than the sum of its proper divisors (439665159628800).

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

121000395479040 is a wasteful number, since it uses less digits than its factorization.

121000395479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 121000395479040 in words is "one hundred twenty-one trillion, three hundred ninety-five million, four hundred seventy-nine thousand, forty".