1202001201120 has 288 divisors, whose sum is σ = 3961923664608. Its totient is φ = 306280267776.

The previous prime is 1202001201073. The next prime is 1202001201139. The reversal of 1202001201120 is 211021002021.

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 = 1202001201096 and 1202001201105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39141612 + ... + 39172308.

It is an arithmetic number, because the mean of its divisors is an integer number (13756679391).

Almost surely, 2^{1202001201120} is an apocalyptic number.

1202001201120 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 1202001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980961832304).

1202001201120 is an abundant number, since it is smaller than the sum of its proper divisors (2759922463488).

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

1202001201120 is a wasteful number, since it uses less digits than its factorization.

1202001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30833 counting only the distinct ones).

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

Adding to 1202001201120 its reverse (211021002021), we get a palindrome (1413022203141).

The spelling of 1202001201120 in words is "one trillion, two hundred two billion, one million, two hundred one thousand, one hundred twenty".