120409793280 has 864 divisors, whose sum is σ = 502019481600. Its totient is φ = 26607329280.

The previous prime is 120409793267. The next prime is 120409793303. The reversal of 120409793280 is 82397904021.

It is a super-3 number, since 3×120409793280³ (a number of 34 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 122491669 + ... + 122492651.

Almost surely, 2^120409793280 is an apocalyptic number.

120409793280 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 120409793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251009740800).

120409793280 is an abundant number, since it is smaller than the sum of its proper divisors (381609688320).

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

120409793280 is an equidigital number, since it uses as much as digits as its factorization.

120409793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 120409793280 in words is "one hundred twenty billion, four hundred nine million, seven hundred ninety-three thousand, two hundred eighty".