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212012200112020 = 2257113197253118089
BaseRepresentation
bin110000001101001011101111…
…111000000010111110010100
31000210200011112202101001210121
4300031023233320002332110
5210242101441212041040
62030525020554201324
762441242650505660
oct6015135770027624
91023604482331717
10212012200112020
116160a9618a8960
121b941474a23244
13913b884409559
143a4d633a318a0
151979dcd0acc4a
hexc0d2efe02f94

212012200112020 has 384 divisors, whose sum is σ = 579160381685760. Its totient is φ = 63262273536000.

The previous prime is 212012200111937. The next prime is 212012200112077. The reversal of 212012200112020 is 20211002210212.

It is a happy number.

212012200112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212012200111985 and 212012200112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11720495136 + ... + 11720513224.

It is an arithmetic number, because the mean of its divisors is an integer number (1508230160640).

Almost surely, 2212012200112020 is an apocalyptic number.

212012200112020 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 212012200112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289580190842880).

212012200112020 is an abundant number, since it is smaller than the sum of its proper divisors (367148181573740).

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

212012200112020 is a wasteful number, since it uses less digits than its factorization.

212012200112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20775 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012200112020 its reverse (20211002210212), we get a palindrome (232223202322232).

The spelling of 212012200112020 in words is "two hundred twelve trillion, twelve billion, two hundred million, one hundred twelve thousand, twenty".