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212112222003000 = 233253115641379817
BaseRepresentation
bin110000001110101000111001…
…101001010001111100111000
31000211000201201110012120211100
4300032220321221101330320
5210300221312313044000
62031043002022331400
762451413411530404
oct6016507151217470
91024021643176740
10212112222003000
1161649319625a80
121b958929b89b60
139148134612027
143a54401950104
15197c7d41bda00
hexc0ea39a51f38

212112222003000 has 384 divisors, whose sum is σ = 782256319266240. Its totient is φ = 51411893760000.

The previous prime is 212112222002959. The next prime is 212112222003107. The reversal of 212112222003000 is 300222211212.

212112222003000 is a `hidden beast` number, since 2 + 1 + 21 + 122 + 220 + 0 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558269092 + ... + 558648908.

Almost surely, 2212112222003000 is an apocalyptic number.

212112222003000 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 212112222003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391128159633120).

212112222003000 is an abundant number, since it is smaller than the sum of its proper divisors (570144097263240).

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

212112222003000 is a wasteful number, since it uses less digits than its factorization.

212112222003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385496 (or 385479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212112222003000 its reverse (300222211212), we get a palindrome (212412444214212).

The spelling of 212112222003000 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, three thousand".