1220420431104 has 144 divisors (see below), whose sum is σ = 3712648343040. Its totient is φ = 348641187840.

The previous prime is 1220420431037. The next prime is 1220420431123. The reversal of 1220420431104 is 4011340240221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53377627 + ... + 53400485.

It is an arithmetic number, because the mean of its divisors is an integer number (25782280160).

Almost surely, 2^{1220420431104} is an apocalyptic number.

1220420431104 is a gapful number since it is divisible by the number (14) 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 1220420431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856324171520).

1220420431104 is an abundant number, since it is smaller than the sum of its proper divisors (2492227911936).

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

1220420431104 is an equidigital number, since it uses as much as digits as its factorization.

1220420431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32816 (or 32802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1220420431104 its reverse (4011340240221), we get a palindrome (5231760671325).

The spelling of 1220420431104 in words is "one trillion, two hundred twenty billion, four hundred twenty million, four hundred thirty-one thousand, one hundred four".