120208112640 has 1408 divisors, whose sum is σ = 556899287040. Its totient is φ = 23843635200.

The previous prime is 120208112627. The next prime is 120208112653. The reversal of 120208112640 is 46211802021.

120208112640 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 8 + 1 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (120208112627) and next prime (120208112653).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244822795 + ... + 244823285.

Almost surely, 2^120208112640 is an apocalyptic number.

120208112640 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 120208112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278449643520).

120208112640 is an abundant number, since it is smaller than the sum of its proper divisors (436691174400).

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

120208112640 is a wasteful number, since it uses less digits than its factorization.

120208112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 120208112640 its reverse (46211802021), we get a palindrome (166419914661).

The spelling of 120208112640 in words is "one hundred twenty billion, two hundred eight million, one hundred twelve thousand, six hundred forty".