242162277120 has 216 divisors, whose sum is σ = 848465217600. Its totient is φ = 63758942208.

The previous prime is 242162277079. The next prime is 242162277163. The reversal of 242162277120 is 21772261242.

242162277120 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 622 + 7 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777036 + ... + 1043124.

Almost surely, 2^242162277120 is an apocalyptic number.

242162277120 is a gapful number since it is divisible by the number (20) 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 242162277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424232608800).

242162277120 is an abundant number, since it is smaller than the sum of its proper divisors (606302940480).

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

242162277120 is a wasteful number, since it uses less digits than its factorization.

242162277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266195 (or 266178 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 242162277120 in words is "two hundred forty-two billion, one hundred sixty-two million, two hundred seventy-seven thousand, one hundred twenty".