120022553880096 has 288 divisors, whose sum is σ = 367438959296640. Its totient is φ = 34204121247744.

The previous prime is 120022553880083. The next prime is 120022553880107. The reversal of 120022553880096 is 690088355220021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6619003446 + ... + 6619021578.

It is an arithmetic number, because the mean of its divisors is an integer number (1275829719780).

Almost surely, 2^{120022553880096} is an apocalyptic number.

120022553880096 is a gapful number since it is divisible by the number (16) 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 120022553880096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183719479648320).

120022553880096 is an abundant number, since it is smaller than the sum of its proper divisors (247416405416544).

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

120022553880096 is a wasteful number, since it uses less digits than its factorization.

120022553880096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21696 (or 21681 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 120022553880096 in words is "one hundred twenty trillion, twenty-two billion, five hundred fifty-three million, eight hundred eighty thousand, ninety-six".