1268921142 has 96 divisors (see below), whose sum is σ = 2942184960. Its totient is φ = 394632000.

The previous prime is 1268921141. The next prime is 1268921167. The reversal of 1268921142 is 2411298621.

It is a super-2 number, since 2×1268921142² = 3220321729229168328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1268921097 and 1268921106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268921141) 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, 1689267 + ... + 1690017.

It is an arithmetic number, because the mean of its divisors is an integer number (30647760).

Almost surely, 2^1268921142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268921142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471092480).

1268921142 is an abundant number, since it is smaller than the sum of its proper divisors (1673263818).

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

1268921142 is a wasteful number, since it uses less digits than its factorization.

1268921142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1268921142 is about 35621.9194036481. The cubic root of 1268921142 is about 1082.6253976663.

The spelling of 1268921142 in words is "one billion, two hundred sixty-eight million, nine hundred twenty-one thousand, one hundred forty-two".