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212303113212000 = 25353131211640061
BaseRepresentation
bin110000010001011010101011…
…101001011101000001100000
31000211200222102222200202010010
4300101122223221131001200
5210311333233440241000
62031310412003404520
762501252026165416
oct6021325351350140
91024628388622103
10212303113212000
116171227674a728
121b989923083740
13916013677cc35
143a5d74ddbb2b6
151982757b26d50
hexc116aba5d060

212303113212000 has 384 divisors, whose sum is σ = 704136691754496. Its totient is φ = 55915641600000.

The previous prime is 212303113211983. The next prime is 212303113212103. The reversal of 212303113212000 is 212311303212.

It is a super-2 number, since 2×2123031132120002 (a number of 29 digits) contains 22 as substring.

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, 331371970 + ... + 332012030.

It is an arithmetic number, because the mean of its divisors is an integer number (1833689301444).

Almost surely, 2212303113212000 is an apocalyptic number.

212303113212000 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 212303113212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352068345877248).

212303113212000 is an abundant number, since it is smaller than the sum of its proper divisors (491833578542496).

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

212303113212000 is a wasteful number, since it uses less digits than its factorization.

212303113212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640431 (or 640413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212303113212000 its reverse (212311303212), we get a palindrome (212515424515212).

The spelling of 212303113212000 in words is "two hundred twelve trillion, three hundred three billion, one hundred thirteen million, two hundred twelve thousand".