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212010022212012 = 2232101125946313413
BaseRepresentation
bin110000001101001001101110…
…000100000001000110101100
31000210122221220222021021122100
4300031021232010001012230
5210242033011141241022
62030524020514215100
762441134663613163
oct6015115604010654
91023587828237570
10212010022212012
1161609a444a33a2
121b940b67584490
13913b5c814511b
143a4d4a86a83da
151979d01ca91ac
hexc0d26e1011ac

212010022212012 has 72 divisors (see below), whose sum is σ = 541650197022480. Its totient is φ = 69914726755200.

The previous prime is 212010022211921. The next prime is 212010022212013. The reversal of 212010022212012 is 210212220010212.

It is a happy number.

212010022212012 is a `hidden beast` number, since 212 + 0 + 100 + 222 + 120 + 12 = 666.

It is a super-2 number, since 2×2120100222120122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212010022212013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18578983 + ... + 27734430.

It is an arithmetic number, because the mean of its divisors is an integer number (7522919403090).

Almost surely, 2212010022212012 is an apocalyptic number.

It is an amenable number.

212010022212012 is an abundant number, since it is smaller than the sum of its proper divisors (329640174810468).

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

212010022212012 is a wasteful number, since it uses less digits than its factorization.

212010022212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46314783 (or 46314778 counting only the distinct ones).

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

Adding to 212010022212012 its reverse (210212220010212), we get a palindrome (422222242222224).

The spelling of 212010022212012 in words is "two hundred twelve trillion, ten billion, twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1259 1818 2518 3636 3777 5036 7554 11331 15108 22662 45324 127159 254318 381477 508636 762954 1144431 1525908 2288862 4577724 46313413 92626826 138940239 185253652 277880478 416820717 555760956 833641434 1667282868 4677654713 9355309426 14032964139 18710618852 28065928278 42098892417 56131856556 58308586967 84197784834 116617173934 168395569668 174925760901 233234347868 349851521802 524777282703 699703043604 1049554565406 2099109130812 5889167283667 11778334567334 17667501851001 23556669134668 35335003702002 53002505553003 70670007404004 106005011106006 212010022212012