120247695378720 has 2304 divisors, whose sum is σ = 547536730890240. Its totient is φ = 24255885570048.

The previous prime is 120247695378689. The next prime is 120247695378749. The reversal of 120247695378720 is 27873596742021.

It is a happy number.

120247695378720 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 4 + 76 + 9 + 537 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 59322986347 + ... + 59322988373.

It is an arithmetic number, because the mean of its divisors is an integer number (237646150560).

It is a 1-persistent number, because it is pandigital, but 2⋅120247695378720 = 240495390757440 is not.

Almost surely, 2^{120247695378720} is an apocalyptic number.

120247695378720 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 120247695378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273768365445120).

120247695378720 is an abundant number, since it is smaller than the sum of its proper divisors (427289035511520).

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

120247695378720 is an equidigital number, since it uses as much as digits as its factorization.

120247695378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 120247695378720 in words is "one hundred twenty trillion, two hundred forty-seven billion, six hundred ninety-five million, three hundred seventy-eight thousand, seven hundred twenty".