542322242101200 has 120 divisors (see below), whose sum is σ = 1895169726079776. Its totient is φ = 131472058688000.

The previous prime is 542322242101187. The next prime is 542322242101219. The reversal of 542322242101200 is 2101242223245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×542322242101200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 20542495971 + ... + 20542522370.

Almost surely, 2^{542322242101200} is an apocalyptic number.

542322242101200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542322242101200 is an abundant number, since it is smaller than the sum of its proper divisors (1352847483978576).

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

542322242101200 is a wasteful number, since it uses less digits than its factorization.

542322242101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41085018373 (or 41085018362 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 542322242101200 its reverse (2101242223245), we get a palindrome (544423484324445).

The spelling of 542322242101200 in words is "five hundred forty-two trillion, three hundred twenty-two billion, two hundred forty-two million, one hundred one thousand, two hundred".