1292282112 has 288 divisors, whose sum is σ = 4038289920. Its totient is φ = 362741760.

The previous prime is 1292282111. The next prime is 1292282113. The reversal of 1292282112 is 2112822921.

It is an interprime number because it is at equal distance from previous prime (1292282111) and next prime (1292282113).

It is a self number, because there is not a number n which added to its sum of digits gives 1292282112.

It is not an unprimeable number, because it can be changed into a prime (1292282111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13322448 + ... + 13322544.

It is an arithmetic number, because the mean of its divisors is an integer number (14021840).

Almost surely, 2^1292282112 is an apocalyptic number.

1292282112 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 1292282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019144960).

1292282112 is an abundant number, since it is smaller than the sum of its proper divisors (2746007808).

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

1292282112 is a wasteful number, since it uses less digits than its factorization.

1292282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 1292282112 is about 35948.3255799210. The cubic root of 1292282112 is about 1089.2287875783.

The spelling of 1292282112 in words is "one billion, two hundred ninety-two million, two hundred eighty-two thousand, one hundred twelve".