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212012201212002 = 232197401149100037
BaseRepresentation
bin110000001101001011101111…
…111100001111100001100010
31000210200011112211102221200200
4300031023233330033201202
5210242101442002241002
62030525021033530030
762441242663036632
oct6015135774174142
91023604484387620
10212012201212002
116160a96248a334
121b941475273916
13913b884703129
143a4d633c3a6c2
151979dcd228b1c
hexc0d2eff0f862

212012201212002 has 48 divisors (see below), whose sum is σ = 462842898361272. Its totient is φ = 70136656934400.

The previous prime is 212012201211971. The next prime is 212012201212003. The reversal of 212012201212002 is 200212102210212.

It is a happy number.

212012201212002 is a `hidden beast` number, since 2 + 120 + 1 + 220 + 121 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211005809029521 + 1006392182481 = 14526039^2 + 1003191^2 .

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 (212012201212003) 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, 73128073 + ... + 75971964.

Almost surely, 2212012201212002 is an apocalyptic number.

212012201212002 is an abundant number, since it is smaller than the sum of its proper divisors (250830697149270).

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

212012201212002 is a wasteful number, since it uses less digits than its factorization.

212012201212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149100643 (or 149100640 counting only the distinct ones).

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

Adding to 212012201212002 its reverse (200212102210212), we get a palindrome (412224303422214).

The spelling of 212012201212002 in words is "two hundred twelve trillion, twelve billion, two hundred one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 197 394 401 591 802 1182 1203 1773 2406 3546 3609 7218 78997 157994 236991 473982 710973 1421946 149100037 298200074 447300111 894600222 1341900333 2683800666 29372707289 58745414578 59789114837 88118121867 119578229674 176236243734 179367344511 264354365601 358734689022 528708731202 538102033533 1076204067066 11778455622889 23556911245778 35335366868667 70670733737334 106006100606001 212012201212002