120100121200000 has 192 divisors, whose sum is σ = 312060868388640. Its totient is φ = 45951347200000.

The previous prime is 120100121199979. The next prime is 120100121200009. The reversal of 120100121200000 is 2121001021.

It is a super-2 number, since 2×120100121200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 120100121200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100121200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672820 + ... + 15727180.

Almost surely, 2^{120100121200000} is an apocalyptic number.

120100121200000 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 120100121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156030434194320).

120100121200000 is an abundant number, since it is smaller than the sum of its proper divisors (191960747188640).

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

120100121200000 is an frugal number, since it uses more digits than its factorization.

120100121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054423 (or 13054391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120100121200000 its reverse (2121001021), we get a palindrome (120102242201021).

The spelling of 120100121200000 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-one million, two hundred thousand".