120788683850880 has 2048 divisors, whose sum is σ = 470019760128000. Its totient is φ = 29225484288000.

The previous prime is 120788683850797. The next prime is 120788683850927. The reversal of 120788683850880 is 88058386887021.

120788683850880 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 8 + 8 + 6 + 8 + 38 + 508 + 80 = 666.

It is a super-2 number, since 2×120788683850880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 120788683850799 and 120788683850808.

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, 140615463891 + ... + 140615464749.

It is an arithmetic number, because the mean of its divisors is an integer number (229501836000).

Almost surely, 2^{120788683850880} is an apocalyptic number.

120788683850880 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 120788683850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235009880064000).

120788683850880 is an abundant number, since it is smaller than the sum of its proper divisors (349231076277120).

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

120788683850880 is a wasteful number, since it uses less digits than its factorization.

120788683850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 120788683850880 in words is "one hundred twenty trillion, seven hundred eighty-eight billion, six hundred eighty-three million, eight hundred fifty thousand, eight hundred eighty".