212345220045000 has 320 divisors, whose sum is σ = 763221303504000. Its totient is φ = 48210301440000.

The previous prime is 212345220044977. The next prime is 212345220045017. The reversal of 212345220045000 is 540022543212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8858640 + ... + 22431360.

It is an arithmetic number, because the mean of its divisors is an integer number (2385066573450).

Almost surely, 2^{212345220045000} is an apocalyptic number.

212345220045000 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 212345220045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381610651752000).

212345220045000 is an abundant number, since it is smaller than the sum of its proper divisors (550876083459000).

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

212345220045000 is a wasteful number, since it uses less digits than its factorization.

212345220045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572906 (or 13572887 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 212345220045000 its reverse (540022543212), we get a palindrome (212885242588212).

The spelling of 212345220045000 in words is "two hundred twelve trillion, three hundred forty-five billion, two hundred twenty million, forty-five thousand".