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212011112012020 = 2251719314722525091
BaseRepresentation
bin110000001101001010101111…
…000001010001100011110100
31000210200001201220220212012121
4300031022233001101203310
5210242042224133341040
62030524321004325324
762441203666014526
oct6015125701214364
91023601656825177
10212011112012020
116160a453681262
121b941210543844
13913b73cb641b9
143a4d56d30da16
151979d677c7c4a
hexc0d2af0518f4

212011112012020 has 192 divisors, whose sum is σ = 523129944637440. Its totient is φ = 71618974156800.

The previous prime is 212011112012009. The next prime is 212011112012047. The reversal of 212011112012020 is 20210211110212.

It is a super-2 number, since 2×2120111120120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011112011985 and 212011112012003.

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, 1850326 + ... + 20674765.

It is an arithmetic number, because the mean of its divisors is an integer number (2724635128320).

Almost surely, 2212011112012020 is an apocalyptic number.

212011112012020 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 212011112012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261564972318720).

212011112012020 is an abundant number, since it is smaller than the sum of its proper divisors (311118832625420).

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

212011112012020 is a wasteful number, since it uses less digits than its factorization.

212011112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22525214 (or 22525212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011112012020 its reverse (20210211110212), we get a palindrome (232221323122232).

The spelling of 212011112012020 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, twelve thousand, twenty".