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2122012122112 = 21037239234341
BaseRepresentation
bin11110111000010001110…
…001110101110000000000
321111212021200011212002201
4132320101301311300000
5234231340100401422
64302501112122544
7306211303300501
oct36702161656000
97455250155081
102122012122112
11748a38582043
122a3315696454
1312514957b52c
14749c5128ba8
153a2e993c727
hex1ee11c75c00

2122012122112 has 88 divisors (see below), whose sum is σ = 4374846434880. Its totient is φ = 1028006461440.

The previous prime is 2122012122103. The next prime is 2122012122161. The reversal of 2122012122112 is 2112212102212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122012122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8938062 + ... + 9172402.

Almost surely, 22122012122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187423217440).

2122012122112 is an abundant number, since it is smaller than the sum of its proper divisors (2252834312768).

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

2122012122112 is a wasteful number, since it uses less digits than its factorization.

2122012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234637 (or 234619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2122012122112 its reverse (2112212102212), we get a palindrome (4234224224324).

The spelling of 2122012122112 in words is "two trillion, one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 239 256 296 478 512 592 956 1024 1184 1912 2368 3824 4736 7648 8843 9472 15296 17686 18944 30592 35372 37888 61184 70744 122368 141488 234341 244736 282976 468682 565952 937364 1131904 1874728 2263808 3749456 4527616 7498912 8670617 9055232 14997824 17341234 29995648 34682468 56007499 59991296 69364936 112014998 119982592 138729872 224029996 239965184 277459744 448059992 554919488 896119984 1109838976 1792239968 2072277463 2219677952 3584479936 4144554926 4439355904 7168959872 8289109852 8878711808 14337919744 16578219704 28675839488 33156439408 57351678976 66312878816 132625757632 265251515264 530503030528 1061006061056 2122012122112