120100223100000 has 576 divisors, whose sum is σ = 462944297168640. Its totient is φ = 26875564800000.

The previous prime is 120100223099897. The next prime is 120100223100031. The reversal of 120100223100000 is 1322001021.

It is a super-2 number, since 2×120100223100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 41500231 + ... + 44299769.

It is an arithmetic number, because the mean of its divisors is an integer number (803722738140).

Almost surely, 2^{120100223100000} is an apocalyptic number.

120100223100000 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 120100223100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231472148584320).

120100223100000 is an abundant number, since it is smaller than the sum of its proper divisors (342844074068640).

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

120100223100000 is a wasteful number, since it uses less digits than its factorization.

120100223100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799601 (or 2799573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120100223100000 its reverse (1322001021), we get a palindrome (120101545101021).

The spelling of 120100223100000 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-three million, one hundred thousand".