1268212140 has 168 divisors, whose sum is σ = 4300841328. Its totient is φ = 312128640.

The previous prime is 1268212129. The next prime is 1268212147. The reversal of 1268212140 is 412128621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268212147) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186195 + ... + 192885.

It is an arithmetic number, because the mean of its divisors is an integer number (25600246).

Almost surely, 2^1268212140 is an apocalyptic number.

1268212140 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 1268212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150420664).

1268212140 is an abundant number, since it is smaller than the sum of its proper divisors (3032629188).

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

1268212140 is a wasteful number, since it uses less digits than its factorization.

1268212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1268212140 is about 35611.9662473164. The cubic root of 1268212140 is about 1082.4237233064.

The spelling of 1268212140 in words is "one billion, two hundred sixty-eight million, two hundred twelve thousand, one hundred forty".