121745221547040 has 1536 divisors, whose sum is σ = 538569193881600. Its totient is φ = 25004092538880.

The previous prime is 121745221547017. The next prime is 121745221547071. The reversal of 121745221547040 is 40745122547121.

121745221547040 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 4 + 522 + 1 + 54 + 70 + 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 255 ways as a sum of consecutive naturals, for example, 2204982474 + ... + 2205037686.

It is an arithmetic number, because the mean of its divisors is an integer number (350630985600).

Almost surely, 2^{121745221547040} is an apocalyptic number.

121745221547040 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 121745221547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269284596940800).

121745221547040 is an abundant number, since it is smaller than the sum of its proper divisors (416823972334560).

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

121745221547040 is a wasteful number, since it uses less digits than its factorization.

121745221547040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55407 (or 55393 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 121745221547040 in words is "one hundred twenty-one trillion, seven hundred forty-five billion, two hundred twenty-one million, five hundred forty-seven thousand, forty".