12101772 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3820608.

The previous prime is 12101767. The next prime is 12101777. The reversal of 12101772 is 27710121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12101767) and next prime (12101777).

It is not an unprimeable number, because it can be changed into a prime (12101777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44854 + ... + 45122.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^12101772 is an apocalyptic number.

12101772 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 12101772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

12101772 is an abundant number, since it is smaller than the sum of its proper divisors (17654388).

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

12101772 is a wasteful number, since it uses less digits than its factorization.

12101772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 12101772 is about 3478.7601239522. The cubic root of 12101772 is about 229.5882488209.

Adding to 12101772 its reverse (27710121), we get a palindrome (39811893).

The spelling of 12101772 in words is "twelve million, one hundred one thousand, seven hundred seventy-two".