121090074240 has 128 divisors (see below), whose sum is σ = 387142729920. Its totient is φ = 32192962560.

The previous prime is 121090074227. The next prime is 121090074241. The reversal of 121090074240 is 42470090121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121090074198 and 121090074207.

It is not an unprimeable number, because it can be changed into a prime (121090074241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540252 + ... + 730788.

Almost surely, 2^121090074240 is an apocalyptic number.

121090074240 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 121090074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193571364960).

121090074240 is an abundant number, since it is smaller than the sum of its proper divisors (266052655680).

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

121090074240 is a wasteful number, since it uses less digits than its factorization.

121090074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190890 (or 190878 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 121090074240 in words is "one hundred twenty-one billion, ninety million, seventy-four thousand, two hundred forty".