Search a number
-
+
120122211201012 = 2232293710330191443
BaseRepresentation
bin11011010100000000100001…
…101110100110111111110100
3120202022120102102201021222200
4123110000201232212333310
5111221040242031413022
61103251214303024500
734205354242226556
oct3324004156467764
9522276372637880
10120122211201012
11353025a8709389
12115805a559b130
135204625767ab7
142193d35d2b4d6
15dd49c37dbbac
hex6d4021ba6ff4

120122211201012 has 144 divisors (see below), whose sum is σ = 325734281658240. Its totient is φ = 37249959608064.

The previous prime is 120122211200963. The next prime is 120122211201043. The reversal of 120122211201012 is 210102112221021.

120122211201012 is a `hidden beast` number, since 120 + 122 + 211 + 201 + 0 + 12 = 666.

120122211201012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11117038 + ... + 19074405.

Almost surely, 2120122211201012 is an apocalyptic number.

120122211201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122211201012 is an abundant number, since it is smaller than the sum of its proper divisors (205612070457228).

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

120122211201012 is a wasteful number, since it uses less digits than its factorization.

120122211201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191622 (or 30191617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122211201012 its reverse (210102112221021), we get a palindrome (330224323422033).

The spelling of 120122211201012 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 103 111 116 148 174 206 222 261 309 333 348 412 444 522 618 666 927 1044 1073 1236 1332 1854 2146 2987 3219 3708 3811 4292 5974 6438 7622 8961 9657 11433 11948 12876 15244 17922 19314 22866 26883 34299 35844 38628 45732 53766 68598 107532 110519 137196 221038 331557 442076 663114 994671 1326228 1989342 3978684 30191443 60382886 90574329 120765772 181148658 271722987 362297316 543445974 875551847 1086891948 1117083391 1751103694 2234166782 2626655541 3109718629 3351250173 3502207388 4468333564 5253311082 6219437258 6702500346 7879966623 9329155887 10053750519 10506622164 12438874516 13405000692 15759933246 18658311774 20107501038 27987467661 31519866492 32395418339 37316623548 40215002076 55974935322 64790836678 90181840241 97186255017 111949870644 115059589273 129581673356 180363680482 194372510034 230119178546 270545520723 291558765051 345178767819 360727360964 388745020068 460238357092 541091041446 583117530102 690357535638 811636562169 1035536303457 1082182082892 1166235060204 1380715071276 1623273124338 2071072606914 3246546248676 3336728088917 4142145213828 6673456177834 10010184266751 13346912355668 20020368533502 30030552800253 40040737067004 60061105600506 120122211201012