120213366624 has 288 divisors, whose sum is σ = 399659702400. Its totient is φ = 35041144320.

The previous prime is 120213366617. The next prime is 120213366629. The reversal of 120213366624 is 426663312021.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213366629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752639 + ... + 2795969.

It is an arithmetic number, because the mean of its divisors is an integer number (1387707300).

Almost surely, 2^120213366624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120213366624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199829851200).

120213366624 is an abundant number, since it is smaller than the sum of its proper divisors (279446335776).

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

120213366624 is a wasteful number, since it uses less digits than its factorization.

120213366624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43395 (or 43368 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 120213366624 its reverse (426663312021), we get a palindrome (546876678645).

The spelling of 120213366624 in words is "one hundred twenty billion, two hundred thirteen million, three hundred sixty-six thousand, six hundred twenty-four".