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122121121010 = 257431011273163
BaseRepresentation
bin111000110111011111…
…1000110110011110010
3102200012211102201111212
41301232333012303302
54000101001333020
6132033543240122
711552163254450
oct1615677066362
9380184381455
10122121121010
1147878209799
121b802149042
13b69278b965
145ca6d2d9d0
15329b2e0cc5
hex1c6efc6cf2

122121121010 has 128 divisors (see below), whose sum is σ = 261734989824. Its totient is φ = 40159929600.

The previous prime is 122121120997. The next prime is 122121121099. The reversal of 122121121010 is 10121121221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38607689 + ... + 38610851.

It is an arithmetic number, because the mean of its divisors is an integer number (2044804608).

Almost surely, 2122121121010 is an apocalyptic number.

122121121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121121010 is an abundant number, since it is smaller than the sum of its proper divisors (139613868814).

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

122121121010 is a wasteful number, since it uses less digits than its factorization.

122121121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122121121010 its reverse (10121121221), we get a palindrome (132242242231).

The spelling of 122121121010 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 101 127 202 215 254 301 430 505 602 635 707 889 1010 1270 1414 1505 1778 3010 3163 3535 4343 4445 5461 6326 7070 8686 8890 10922 12827 15815 21715 22141 25654 27305 30401 31630 38227 43430 44282 54610 60802 64135 76454 89789 110705 128270 136009 152005 179578 191135 221410 272018 304010 319463 382270 401701 448945 551561 638926 680045 803402 897890 952063 1103122 1360090 1597315 1904126 2008505 2236241 2757805 2811907 3194630 3860927 4017010 4472482 4760315 5515610 5623814 7721854 9520630 11181205 13736909 14059535 17273143 19304635 22362410 27473818 28119070 34546286 38609270 40571801 68684545 81143602 86365715 96158363 120912001 137369090 172731430 192316726 202859005 241824002 284002607 405718010 480791815 568005214 604560005 961583630 1209120010 1420013035 1744587443 2840026070 3489174886 8722937215 12212112101 17445874430 24424224202 61060560505 122121121010