1220121431100 has 432 divisors, whose sum is σ = 4516376495904. Its totient is φ = 271613952000.

The previous prime is 1220121431099. The next prime is 1220121431117. The reversal of 1220121431100 is 11341210221.

1220121431100 is a `hidden beast` number, since 1 + 2 + 201 + 21 + 431 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24814540 + ... + 24863660.

It is an arithmetic number, because the mean of its divisors is an integer number (10454575222).

Almost surely, 2^{1220121431100} is an apocalyptic number.

1220121431100 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 1220121431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258188247952).

1220121431100 is an abundant number, since it is smaller than the sum of its proper divisors (3296255064804).

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

1220121431100 is a wasteful number, since it uses less digits than its factorization.

1220121431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49358 (or 49348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1220121431100 its reverse (11341210221), we get a palindrome (1231462641321).

The spelling of 1220121431100 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred".