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122331231131230 = 2511291011441126347
BaseRepresentation
bin11011110100001001110101…
…100100111001011001011110
3121001010202021211102202120201
4123310021311210321121132
5112013233330132144410
61112102105230334114
734524065642641402
oct3364116544713136
9531122254382521
10122331231131230
1135a84424894450
121187874195a33a
135334a29c59044
14222cc127c1102
15e221b1a5583a
hex6f427593965e

122331231131230 has 128 divisors (see below), whose sum is σ = 250984606440960. Its totient is φ = 42520336320000.

The previous prime is 122331231131159. The next prime is 122331231131251. The reversal of 122331231131230 is 32131132133221.

122331231131230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1223312311312302 (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 63 ways as a sum of consecutive naturals, for example, 4643066917 + ... + 4643093263.

It is an arithmetic number, because the mean of its divisors is an integer number (1960817237820).

Almost surely, 2122331231131230 is an apocalyptic number.

122331231131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122331231131230 is an abundant number, since it is smaller than the sum of its proper divisors (128653375309730).

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

122331231131230 is a wasteful number, since it uses less digits than its factorization.

122331231131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40906.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122331231131230 its reverse (32131132133221), we get a palindrome (154462363264451).

The spelling of 122331231131230 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 101 110 145 202 290 319 505 638 1010 1111 1595 2222 2929 3190 5555 5858 11110 14411 14645 26347 28822 29290 32219 52694 64438 72055 131735 144110 158521 161095 263470 289817 317042 322190 417919 579634 764063 792605 835838 1449085 1455511 1528126 1585210 2089595 2661047 2898170 2911022 3820315 4179190 4597109 5322094 7277555 7640630 8404693 9194218 13305235 14555110 16010621 16809386 22985545 26610470 29271517 32021242 42023465 42209819 45971090 58543034 77170363 80053105 84046930 84419638 146357585 154340726 160106210 211049095 292715170 379686617 385851815 422098190 464308009 759373234 771703630 848873993 928616018 1697747986 1898433085 2321540045 3796866170 4176552787 4244369965 4643080090 8353105574 8488739930 11010911893 20882763935 22021823786 38348348317 41765527870 55054559465 76696696634 110109118930 121120030823 191741741585 242240061646 383483483170 421831831487 605600154115 843663662974 1112102101193 1211200308230 2109159157435 2224204202386 4218318314870 5560510505965 11121021011930 12233123113123 24466246226246 61165615565615 122331231131230