120360156672 has 480 divisors, whose sum is σ = 415808743680. Its totient is φ = 30656102400.

The previous prime is 120360156661. The next prime is 120360156701. The reversal of 120360156672 is 276651063021.

It is a super-2 number, since 2×120360156672² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 120360156672.

It is a congruent number.

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, 24307797 + ... + 24312747.

It is an arithmetic number, because the mean of its divisors is an integer number (866268216).

Almost surely, 2^120360156672 is an apocalyptic number.

120360156672 is a gapful number since it is divisible by the number (12) 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 120360156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207904371840).

120360156672 is an abundant number, since it is smaller than the sum of its proper divisors (295448587008).

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

120360156672 is a wasteful number, since it uses less digits than its factorization.

120360156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 120360156672 in words is "one hundred twenty billion, three hundred sixty million, one hundred fifty-six thousand, six hundred seventy-two".