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12122112001012 = 22133723327040661
BaseRepresentation
bin1011000001100110011000…
…1011100000001111110100
31120220212021211100111000121
42300121212023200033310
53042102041133013022
641440453230021324
72360536143624166
oct260314613401764
946825254314017
1012122112001012
113953a60224602
12143941a947844
1369c1583073a0
142dc9db616936
151604cd50e2c7
hexb06662e03f4

12122112001012 has 48 divisors (see below), whose sum is σ = 23563665517392. Its totient is φ = 5420246215680.

The previous prime is 12122112001003. The next prime is 12122112001037. The reversal of 12122112001012 is 21010021122121.

It can be written as a sum of positive squares in 8 ways, for example, as 1102638436 + 12121009362576 = 33206^2 + 3481524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13072039 + ... + 13968622.

It is an arithmetic number, because the mean of its divisors is an integer number (490909698279).

Almost surely, 212122112001012 is an apocalyptic number.

It is an amenable number.

12122112001012 is a deficient number, since it is larger than the sum of its proper divisors (11441553516380).

12122112001012 is a wasteful number, since it uses less digits than its factorization.

12122112001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27040948 (or 27040946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122112001012 its reverse (21010021122121), we get a palindrome (33132133123133).

The spelling of 12122112001012 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, twelve".

Divisors: 1 2 4 13 26 37 52 74 148 233 466 481 932 962 1924 3029 6058 8621 12116 17242 34484 112073 224146 448292 27040661 54081322 108162644 351528593 703057186 1000504457 1406114372 2001008914 4002017828 6300474013 12600948026 13006557941 25201896052 26013115882 52026231764 81906162169 163812324338 233117538481 327624648676 466235076962 932470153924 3030528000253 6061056000506 12122112001012