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102212122212120 = 233513719731559809
BaseRepresentation
bin10111001111011000011101…
…001111000111011100011000
3111101220101100112112020121110
4113033120131033013130120
5101344120411241241440
61001215333430540320
730346403446534524
oct2717303517073430
9441811315466543
10102212122212120
112a627a10362588
12b569488b076a0
13450573c280a5b
141b351436d4d84
15bc3b8a083080
hex5cf61d3c7718

102212122212120 has 128 divisors (see below), whose sum is σ = 310442489438400. Its totient is φ = 26920263745536.

The previous prime is 102212122212107. The next prime is 102212122212149. The reversal of 102212122212120 is 21212221212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12541225 + ... + 19018584.

Almost surely, 2102212122212120 is an apocalyptic number.

102212122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212122212120 is an abundant number, since it is smaller than the sum of its proper divisors (208230367226280).

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

102212122212120 is a wasteful number, since it uses less digits than its factorization.

102212122212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31560157 (or 31560153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102212122212120 its reverse (21212221212201), we get a palindrome (123424343424321).

The spelling of 102212122212120 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 197 274 394 411 548 591 685 788 822 985 1096 1182 1370 1576 1644 1970 2055 2364 2740 2955 3288 3940 4110 4728 5480 5910 7880 8220 11820 16440 23640 26989 53978 80967 107956 134945 161934 215912 269890 323868 404835 539780 647736 809670 1079560 1619340 3238680 31559809 63119618 94679427 126239236 157799045 189358854 252478472 315598090 378717708 473397135 631196180 757435416 946794270 1262392360 1893588540 3787177080 4323693833 6217282373 8647387666 12434564746 12971081499 17294775332 18651847119 21618469165 24869129492 25942162998 31086411865 34589550664 37303694238 43236938330 49738258984 51884325996 62172823730 64855407495 74607388476 86473876660 93259235595 103768651992 124345647460 129710814990 149214776952 172947753320 186518471190 248691294920 259421629980 373036942380 518843259960 746073884760 851767685101 1703535370202 2555303055303 3407070740404 4258838425505 5110606110606 6814141480808 8517676851010 10221212221212 12776515276515 17035353702020 20442424442424 25553030553030 34070707404040 51106061106060 102212122212120