120212001201120 has 384 divisors, whose sum is σ = 387727978659840. Its totient is φ = 31300176660480.

The previous prime is 120212001201077. The next prime is 120212001201139. The reversal of 120212001201120 is 21102100212021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212001201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1497686109 + ... + 1497766371.

It is an arithmetic number, because the mean of its divisors is an integer number (1009708277760).

Almost surely, 2^{120212001201120} is an apocalyptic number.

120212001201120 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 120212001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193863989329920).

120212001201120 is an abundant number, since it is smaller than the sum of its proper divisors (267515977458720).

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

120212001201120 is a wasteful number, since it uses less digits than its factorization.

120212001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80798 (or 80790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120212001201120 its reverse (21102100212021), we get a palindrome (141314101413141).

The spelling of 120212001201120 in words is "one hundred twenty trillion, two hundred twelve billion, one million, two hundred one thousand, one hundred twenty".