120207144960 has 1152 divisors, whose sum is σ = 524343456000. Its totient is φ = 25974079488.

The previous prime is 120207144931. The next prime is 120207144977. The reversal of 120207144960 is 69441702021.

It is a happy number.

120207144960 is a `hidden beast` number, since 1 + 2 + 0 + 207 + 1 + 449 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 257402647 + ... + 257403113.

It is an arithmetic number, because the mean of its divisors is an integer number (455159250).

Almost surely, 2^120207144960 is an apocalyptic number.

120207144960 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 120207144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262171728000).

120207144960 is an abundant number, since it is smaller than the sum of its proper divisors (404136311040).

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

120207144960 is a wasteful number, since it uses less digits than its factorization.

120207144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 120207144960 its reverse (69441702021), we get a palindrome (189648846981).

The spelling of 120207144960 in words is "one hundred twenty billion, two hundred seven million, one hundred forty-four thousand, nine hundred sixty".