Search a number
-
+
212020120012122 = 2336759997832171
BaseRepresentation
bin110000001101010011000111…
…111100000100010101011010
31000210200220222201001200022000
4300031103013330010111122
5210242214201210341442
62030532410513141430
762441643136525512
oct6015230774042532
91023626881050260
10212020120012122
1161613256437044
121b942b0525a876
13913c547185986
143a4db85808842
15197a1e3534d4c
hexc0d4c7f0455a

212020120012122 has 64 divisors (see below), whose sum is σ = 478986314112000. Its totient is φ = 69502321540080.

The previous prime is 212020120012121. The next prime is 212020120012147. The reversal of 212020120012122 is 221210021020212.

It is a happy number.

212020120012122 is a `hidden beast` number, since 2 + 120 + 201 + 200 + 121 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212020120012095 and 212020120012104.

It is not an unprimeable number, because it can be changed into a prime (212020120012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46748904 + ... + 51083267.

It is an arithmetic number, because the mean of its divisors is an integer number (7484161158000).

Almost surely, 2212020120012122 is an apocalyptic number.

212020120012122 is an abundant number, since it is smaller than the sum of its proper divisors (266966194099878).

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

212020120012122 is a wasteful number, since it uses less digits than its factorization.

212020120012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97832848 (or 97832842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212020120012122 its reverse (221210021020212), we get a palindrome (433230141032334).

The spelling of 212020120012122 in words is "two hundred twelve trillion, twenty billion, one hundred twenty million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 599 603 1198 1206 1797 1809 3594 3618 5391 10782 16173 32346 40133 80266 120399 240798 361197 722394 1083591 2167182 97832171 195664342 293496513 586993026 880489539 1760979078 2641468617 5282937234 6554755457 13109510914 19664266371 39328532742 58601470429 58992799113 117202940858 117985598226 175804411287 176978397339 351608822574 353956794678 527413233861 1054826467722 1582239701583 3164479403166 3926298518743 7852597037486 11778895556229 23557791112458 35336686668687 70673373337374 106010060006061 212020120012122