242211312 has 90 divisors (see below), whose sum is σ = 788548488. Its totient is φ = 69201216.

The previous prime is 242211311. The next prime is 242211323. The reversal of 242211312 is 213112242.

It is a happy number.

It is a super-2 number, since 2×242211312² = 117332639321522688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242211311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10108 + ... + 24219.

Almost surely, 2^242211312 is an apocalyptic number.

It is an amenable number.

242211312 is an abundant number, since it is smaller than the sum of its proper divisors (546337176).

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

242211312 is a wasteful number, since it uses less digits than its factorization.

242211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34355 (or 34339 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 242211312 is about 15563.1395290282. The cubic root of 242211312 is about 623.3492970324.

Adding to 242211312 its reverse (213112242), we get a palindrome (455323554).

The spelling of 242211312 in words is "two hundred forty-two million, two hundred eleven thousand, three hundred twelve".