1220435241012 has 144 divisors (see below), whose sum is σ = 3495111984000. Its totient is φ = 356424139008.

The previous prime is 1220435240977. The next prime is 1220435241017. The reversal of 1220435241012 is 2101425340221.

1220435241012 is a `hidden beast` number, since 1 + 2 + 204 + 35 + 2 + 410 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220435241017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38689 + ... + 1562807.

It is an arithmetic number, because the mean of its divisors is an integer number (24271611000).

Almost surely, 2^{1220435241012} is an apocalyptic number.

1220435241012 is a gapful number since it is divisible by the number (12) 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 1220435241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747555992000).

1220435241012 is an abundant number, since it is smaller than the sum of its proper divisors (2274676742988).

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

1220435241012 is a wasteful number, since it uses less digits than its factorization.

1220435241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524230 (or 1524225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1220435241012 in words is "one trillion, two hundred twenty billion, four hundred thirty-five million, two hundred forty-one thousand, twelve".