10121292 has 36 divisors (see below), whose sum is σ = 25705680. Its totient is φ = 3357792.

The previous prime is 10121257. The next prime is 10121299. The reversal of 10121292 is 29212101.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10121299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8934 + ... + 10002.

Almost surely, 2^10121292 is an apocalyptic number.

10121292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121292 is an abundant number, since it is smaller than the sum of its proper divisors (15584388).

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

10121292 is a wasteful number, since it uses less digits than its factorization.

10121292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10121292 is about 3181.3978059966. The cubic root of 10121292 is about 216.3110231294.

Adding to 10121292 its reverse (29212101), we get a palindrome (39333393).

It can be divided in two parts, 1012 and 1292, that added together give a square (2304 = 48²).

The spelling of 10121292 in words is "ten million, one hundred twenty-one thousand, two hundred ninety-two".