1042221312 has 432 divisors, whose sum is σ = 3615917760. Its totient is φ = 285081600.

The previous prime is 1042221293. The next prime is 1042221317. The reversal of 1042221312 is 2131222401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1042221317) 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, 17664739 + ... + 17664797.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^1042221312 is an apocalyptic number.

1042221312 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 1042221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

1042221312 is an abundant number, since it is smaller than the sum of its proper divisors (2573696448).

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

1042221312 is a wasteful number, since it uses less digits than its factorization.

1042221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042221312 is about 32283.4526034624. The cubic root of 1042221312 is about 1013.8802188028.

Adding to 1042221312 its reverse (2131222401), we get a palindrome (3173443713).

The spelling of 1042221312 in words is "one billion, forty-two million, two hundred twenty-one thousand, three hundred twelve".