42212013234000 has 320 divisors, whose sum is σ = 144192059331840. Its totient is φ = 10587392409600.

The previous prime is 42212013233993. The next prime is 42212013234019. The reversal of 42212013234000 is 43231021224.

It is a happy number.

It is a super-2 number, since 2×42212013234000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155210136 + ... + 155481864.

It is an arithmetic number, because the mean of its divisors is an integer number (450600185412).

Almost surely, 2^{42212013234000} is an apocalyptic number.

42212013234000 is a gapful number since it is divisible by the number (40) 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 42212013234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72096029665920).

42212013234000 is an abundant number, since it is smaller than the sum of its proper divisors (101980046097840).

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

42212013234000 is a wasteful number, since it uses less digits than its factorization.

42212013234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273295 (or 273279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42212013234000 its reverse (43231021224), we get a palindrome (42255244255224).

The spelling of 42212013234000 in words is "forty-two trillion, two hundred twelve billion, thirteen million, two hundred thirty-four thousand".