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122330133223221 = 37118233359191563
BaseRepresentation
bin11011110100001000110100…
…001000101101011100110101
3121001010122110022112020221010
4123310020310020231130311
5112013224103101120341
61112101404250342433
734524026511610410
oct3364106410553465
9531118408466833
10122330133223221
1135a83a11078960
121187849612aa19
1353348b365b631
14222cb4aa68b77
15e2214a484716
hex6f423422d735

122330133223221 has 64 divisors (see below), whose sum is σ = 203662753136640. Its totient is φ = 63451678933440.

The previous prime is 122330133223121. The next prime is 122330133223241. The reversal of 122330133223221 is 122322331033221.

It is not a de Polignac number, because 122330133223221 - 211 = 122330133221173 is a prime.

It is a super-2 number, since 2×1223301332232212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330133223241) by changing a digit.

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, 638493786 + ... + 638685348.

It is an arithmetic number, because the mean of its divisors is an integer number (3182230517760).

Almost surely, 2122330133223221 is an apocalyptic number.

122330133223221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122330133223221 is a deficient number, since it is larger than the sum of its proper divisors (81332619913419).

122330133223221 is a wasteful number, since it uses less digits than its factorization.

122330133223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195766.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 122330133223221 its reverse (122322331033221), we get a palindrome (244652464256442).

The spelling of 122330133223221 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 823 2469 3359 5761 9053 10077 17283 23513 27159 36949 63371 70539 110847 190113 191563 258643 574689 775929 1340941 2107193 2764457 4022823 6321579 8293371 14750351 19351199 30409027 44251053 58053597 91227081 157656349 212863189 472969047 638589567 643460117 1103594443 1734219839 1930380351 3310783329 4504220819 5202659517 7078061287 12139538873 13512662457 21234183861 36418616619 49546429009 148639287027 529567676291 1588703028873 3706973734037 5825244439201 11120921202111 17475733317603 40776711074407 122330133223221