1220210343144 has 160 divisors (see below), whose sum is σ = 3681261045000. Its totient is φ = 375383973888.

The previous prime is 1220210343127. The next prime is 1220210343161. The reversal of 1220210343144 is 4413430120221.

1220210343144 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 0 + 3 + 431 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1220210343127) and next prime (1220210343161).

It can be written as a sum of positive squares in 4 ways, for example, as 298345364100 + 921864979044 = 546210^2 + 960138^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74535792 + ... + 74552160.

Almost surely, 2^{1220210343144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220210343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840630522500).

1220210343144 is an abundant number, since it is smaller than the sum of its proper divisors (2461050701856).

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

1220210343144 is a wasteful number, since it uses less digits than its factorization.

1220210343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25249 (or 25236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1220210343144 its reverse (4413430120221), we get a palindrome (5633640463365).

The spelling of 1220210343144 in words is "one trillion, two hundred twenty billion, two hundred ten million, three hundred forty-three thousand, one hundred forty-four".