1220432512140 has 144 divisors (see below), whose sum is σ = 3741546332160. Its totient is φ = 321984512640.

The previous prime is 1220432512129. The next prime is 1220432512181. The reversal of 1220432512140 is 412152340221.

1220432512140 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 3 + 2 + 512 + 140 = 666.

It is a super-3 number, since 3×1220432512140³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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, 8132385 + ... + 8281095.

It is an arithmetic number, because the mean of its divisors is an integer number (25982960640).

Almost surely, 2^{1220432512140} is an apocalyptic number.

1220432512140 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 1220432512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870773166080).

1220432512140 is an abundant number, since it is smaller than the sum of its proper divisors (2521113820020).

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

1220432512140 is a wasteful number, since it uses less digits than its factorization.

1220432512140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149212 (or 149207 counting only the distinct ones).

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

Adding to 1220432512140 its reverse (412152340221), we get a palindrome (1632584852361).

The spelling of 1220432512140 in words is "one trillion, two hundred twenty billion, four hundred thirty-two million, five hundred twelve thousand, one hundred forty".