120100304772000 has 1440 divisors, whose sum is σ = 514436378536080. Its totient is φ = 27362661580800.

The previous prime is 120100304771977. The next prime is 120100304772013. The reversal of 120100304772000 is 277403001021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2424585323664 + 117675719448336 = 1557108^2 + 10847844^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4969175916 + ... + 4969200084.

Almost surely, 2^{120100304772000} is an apocalyptic number.

120100304772000 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 120100304772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257218189268040).

120100304772000 is an abundant number, since it is smaller than the sum of its proper divisors (394336073764080).

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

120100304772000 is a wasteful number, since it uses less digits than its factorization.

120100304772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24533 (or 24499 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 120100304772000 its reverse (277403001021), we get a palindrome (120377707773021).

The spelling of 120100304772000 in words is "one hundred twenty trillion, one hundred billion, three hundred four million, seven hundred seventy-two thousand".