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202201211212112 = 24741271162484741
BaseRepresentation
bin101101111110011010100011…
…010111100001000101010000
3222111221020200001212112200202
4231332122203113201011100
5203000331040032241422
61554013542025034332
760406361340023330
oct5576324327410520
9874836601775622
10202201211212112
1159478063399982
121a817b486259a8
1388a9652a61078
1437d083b3a30c0
151859ab69e3b92
hexb7e6a35e1150

202201211212112 has 80 divisors (see below), whose sum is σ = 460343971766784. Its totient is φ = 84232089216000.

The previous prime is 202201211212103. The next prime is 202201211212157. The reversal of 202201211212112 is 211212112102202.

202201211212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2022012112121123 (a number of 44 digits) contains 333 as substring.

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, 79997939 + ... + 82486802.

Almost surely, 2202201211212112 is an apocalyptic number.

It is an amenable number.

202201211212112 is an abundant number, since it is smaller than the sum of its proper divisors (258142760554672).

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

202201211212112 is a wasteful number, since it uses less digits than its factorization.

202201211212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162485068 (or 162485062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202201211212112 its reverse (211212112102202), we get a palindrome (413413323314314).

The spelling of 202201211212112 in words is "two hundred two trillion, two hundred one billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 271 287 328 542 574 656 1084 1148 1897 2168 2296 3794 4336 4592 7588 11111 15176 22222 30352 44444 77777 88888 155554 177776 311108 622216 1244432 162484741 324969482 649938964 1137393187 1299877928 2274786374 2599755856 4549572748 6661874381 9099145496 13323748762 18198290992 26647497524 44033364811 46633120667 53294995048 88066729622 93266241334 106589990096 176133459244 186532482668 308233553677 352266918488 373064965336 616467107354 704533836976 746129930672 1232934214708 1805367957251 2465868429416 3610735914502 4931736858832 7221471829004 12637575700757 14442943658008 25275151401514 28885887316016 50550302803028 101100605606056 202201211212112