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12142200204 = 223223101145193
BaseRepresentation
bin10110100111011101…
…10100010110001100
31011100012200200100200
423103232310112030
5144331400401304
65324505253500
7606615666411
oct132356642614
934305620320
1012142200204
115170a56802
12242a494290
1311b6762464
14832876108
154b0eade39
hex2d3bb458c

12142200204 has 72 divisors (see below), whose sum is σ = 32344576992. Its totient is φ = 3833068800.

The previous prime is 12142200197. The next prime is 12142200221. The reversal of 12142200204 is 40200224121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11032 + ... + 156224.

It is an arithmetic number, because the mean of its divisors is an integer number (449230236).

Almost surely, 212142200204 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 12142200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172288496).

12142200204 is an abundant number, since it is smaller than the sum of its proper divisors (20202376788).

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

12142200204 is a wasteful number, since it uses less digits than its factorization.

12142200204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145327 (or 145322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12142200204 its reverse (40200224121), we get a palindrome (52342424325).

The spelling of 12142200204 in words is "twelve billion, one hundred forty-two million, two hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 101 138 202 207 276 303 404 414 606 828 909 1212 1818 2323 3636 4646 6969 9292 13938 20907 27876 41814 83628 145193 290386 435579 580772 871158 1306737 1742316 2613474 3339439 5226948 6678878 10018317 13357756 14664493 20036634 29328986 30054951 40073268 43993479 58657972 60109902 87986958 120219804 131980437 175973916 263960874 337283339 527921748 674566678 1011850017 1349133356 2023700034 3035550051 4047400068 6071100102 12142200204