1200101022120 has 768 divisors, whose sum is σ = 4992139745280. Its totient is φ = 223957094400.

The previous prime is 1200101022119. The next prime is 1200101022149. The reversal of 1200101022120 is 212201010021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200101022096 and 1200101022105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57767335 + ... + 57788105.

It is an arithmetic number, because the mean of its divisors is an integer number (6500181960).

Almost surely, 2^{1200101022120} is an apocalyptic number.

1200101022120 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 1200101022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496069872640).

1200101022120 is an abundant number, since it is smaller than the sum of its proper divisors (3792038723160).

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

1200101022120 is a wasteful number, since it uses less digits than its factorization.

1200101022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20866 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200101022120 its reverse (212201010021), we get a palindrome (1412302032141).

The spelling of 1200101022120 in words is "one trillion, two hundred billion, one hundred one million, twenty-two thousand, one hundred twenty".