1220121011200 has 396 divisors, whose sum is σ = 3788887763892. Its totient is φ = 386143027200.

The previous prime is 1220121011189. The next prime is 1220121011209. The reversal of 1220121011200 is 21101210221.

It can be written as a sum of positive squares in 6 ways, for example, as 153312968704 + 1066808042496 = 391552^2 + 1032864^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220121011209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16269790 + ... + 16344610.

Almost surely, 2^{1220121011200} is an apocalyptic number.

1220121011200 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 1220121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894443881946).

1220121011200 is an abundant number, since it is smaller than the sum of its proper divisors (2568766752692).

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

1220121011200 is a wasteful number, since it uses less digits than its factorization.

1220121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74878 (or 74848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220121011200 its reverse (21101210221), we get a palindrome (1241222221421).

The spelling of 1220121011200 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, eleven thousand, two hundred".