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122001220122100 = 2252112919919218541
BaseRepresentation
bin11011101111010110011111…
…011000110011010111110100
3120222222012110210111111202221
4123233112133120303113310
5111442331444322401400
61111250330425212124
734461203652435424
oct3357263730632764
9528865423444687
10122001220122100
1135967477214870
12118247a1931044
13530c8866ac387
14221ac679aa484
15e187e97e5c1a
hex6ef59f6335f4

122001220122100 has 144 divisors (see below), whose sum is σ = 300270500208000. Its totient is φ = 42619034304000.

The previous prime is 122001220122073. The next prime is 122001220122113. The reversal of 122001220122100 is 1221022100221.

It is a happy number.

It is a super-2 number, since 2×1220012201221002 (a number of 29 digits) contains 22 as substring.

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, 3261171 + ... + 15957370.

It is an arithmetic number, because the mean of its divisors is an integer number (2085211807000).

Almost surely, 2122001220122100 is an apocalyptic number.

122001220122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001220122100 is an abundant number, since it is smaller than the sum of its proper divisors (178269280085900).

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

122001220122100 is a wasteful number, since it uses less digits than its factorization.

122001220122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19218794 (or 19218787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122001220122100 its reverse (1221022100221), we get a palindrome (123222242222321).

The spelling of 122001220122100 in words is "one hundred twenty-two trillion, one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 199 220 275 290 319 398 550 580 638 725 796 995 1100 1276 1450 1595 1990 2189 2900 3190 3980 4378 4975 5771 6380 7975 8756 9950 10945 11542 15950 19900 21890 23084 28855 31900 43780 54725 57710 63481 109450 115420 126962 144275 218900 253924 288550 317405 577100 634810 1269620 1587025 3174050 6348100 19218541 38437082 76874164 96092705 192185410 211403951 384370820 422807902 480463525 557337689 845615804 960927050 1057019755 1114675378 1921854100 2114039510 2229350756 2786688445 3824489659 4228079020 5285098775 5573376890 6130714579 7648979318 10570197550 11146753780 12261429158 13933442225 15297958636 19122448295 21140395100 24522858316 27866884450 30653572895 38244896590 42069386249 55733768900 61307145790 76489793180 84138772498 95612241475 110910200111 122614291580 153267864475 168277544996 191224482950 210346931245 221820400222 306535728950 382448965900 420693862490 443640800444 554551000555 613071457900 841387724980 1051734656225 1109102001110 1220012201221 2103469312450 2218204002220 2440024402442 2772755002775 4206938624900 4880048804884 5545510005550 6100061006105 11091020011100 12200122012210 24400244024420 30500305030525 61000610061050 122001220122100