Search a number
-
+
12122110100022 = 23131911097375619
BaseRepresentation
bin1011000001100110011000…
…0100010000001000110110
31120220212021200202220100120
42300121212010100020312
53042102040141200042
641440453121152410
72360536121516016
oct260314604201066
946825250686316
1012122110100022
113953a5a14633a
12143941a18b706
1369c157ac0040
142dc9db27dc46
151604cd285dec
hexb0666110236

12122110100022 has 64 divisors (see below), whose sum is σ = 27508112352000. Its totient is φ = 3530383809408.

The previous prime is 12122110100021. The next prime is 12122110100027. The reversal of 12122110100022 is 22000101122121.

It is a junction number, because it is equal to n+sod(n) for n = 12122110099974 and 12122110100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110100021) 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, 2044272 + ... + 5331347.

It is an arithmetic number, because the mean of its divisors is an integer number (429814255500).

Almost surely, 212122110100022 is an apocalyptic number.

12122110100022 is an abundant number, since it is smaller than the sum of its proper divisors (15386002251978).

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

12122110100022 is a wasteful number, since it uses less digits than its factorization.

12122110100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376765.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122110100022 its reverse (22000101122121), we get a palindrome (34122211222143).

The spelling of 12122110100022 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1109 1482 2218 3327 6654 14417 21071 28834 42142 43251 63213 86502 126426 273923 547846 821769 1643538 7375619 14751238 22126857 44253714 95883047 140136761 191766094 280273522 287649141 420410283 575298282 840820566 1821777893 3643555786 5465333679 8179561471 10930667358 16359122942 24538684413 49077368826 106334299123 155411667949 212668598246 310823335898 319002897369 466235003847 638005794738 932470007694 2020351683337 4040703366674 6061055050011 12122110100022