1220101121200 has 240 divisors, whose sum is σ = 3185212758336. Its totient is φ = 446452531200.

The previous prime is 1220101121191. The next prime is 1220101121203. The reversal of 1220101121200 is 21211010221.

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

It is not an unprimeable number, because it can be changed into a prime (1220101121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586304160 + ... + 586306240.

Almost surely, 2^{1220101121200} is an apocalyptic number.

1220101121200 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 1220101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592606379168).

1220101121200 is an abundant number, since it is smaller than the sum of its proper divisors (1965111637136).

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

1220101121200 is a wasteful number, since it uses less digits than its factorization.

1220101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3061 counting only the distinct ones).

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

Adding to 1220101121200 its reverse (21211010221), we get a palindrome (1241312131421).

The spelling of 1220101121200 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred".