42225012022120 has 64 divisors (see below), whose sum is σ = 97415402256720. Its totient is φ = 16465775499264.

The previous prime is 42225012022111. The next prime is 42225012022159. The reversal of 42225012022120 is 2122021052224.

It can be written as a sum of positive squares in 8 ways, for example, as 19684679574564 + 22540332447556 = 4436742^2 + 4747666^2 .

It is a super-3 number, since 3×42225012022120³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63098557 + ... + 63764236.

Almost surely, 2^{42225012022120} is an apocalyptic number.

42225012022120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225012022120 is an abundant number, since it is smaller than the sum of its proper divisors (55190390234600).

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

42225012022120 is a wasteful number, since it uses less digits than its factorization.

42225012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126863014 (or 126863010 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42225012022120 its reverse (2122021052224), we get a palindrome (44347033074344).

The spelling of 42225012022120 in words is "forty-two trillion, two hundred twenty-five billion, twelve million, twenty-two thousand, one hundred twenty".