1220142144 has 168 divisors, whose sum is σ = 3611465472. Its totient is φ = 363018240.

The previous prime is 1220142107. The next prime is 1220142163. The reversal of 1220142144 is 4412410221.

It is a super-3 number, since 3×1220142144³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1220142144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005282 + ... + 1006494.

Almost surely, 2^1220142144 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 1220142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805732736).

1220142144 is an abundant number, since it is smaller than the sum of its proper divisors (2391323328).

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

1220142144 is a wasteful number, since it uses less digits than its factorization.

1220142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1220142144 is about 34930.5331193213. The cubic root of 1220142144 is about 1068.5712271958.

Adding to 1220142144 its reverse (4412410221), we get a palindrome (5632552365).

It can be divided in two parts, 12201 and 42144, that added together give a palindrome (54345).

The spelling of 1220142144 in words is "one billion, two hundred twenty million, one hundred forty-two thousand, one hundred forty-four".