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122101211110112 = 2513564375200711
BaseRepresentation
bin11011110000110011100111…
…010100001001101011100000
3121000022202120100011222220022
4123300303213110021223200
5112001001240021010422
61111404304431133012
734501343560011053
oct3360634724115340
9530282510158808
10122101211110112
11359a5918555043
1211840048674168
135319130384b80
142221a31762a9a
15e1b1ecd50342
hex6f0ce7509ae0

122101211110112 has 48 divisors (see below), whose sum is σ = 258882685360992. Its totient is φ = 56353395755520.

The previous prime is 122101211110009. The next prime is 122101211110141. The reversal of 122101211110112 is 211011112101221.

It is a super-2 number, since 2×1221012111101122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20877437 + ... + 26078147.

It is an arithmetic number, because the mean of its divisors is an integer number (5393389278354).

Almost surely, 2122101211110112 is an apocalyptic number.

It is an amenable number.

122101211110112 is an abundant number, since it is smaller than the sum of its proper divisors (136781474250880).

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

122101211110112 is a wasteful number, since it uses less digits than its factorization.

122101211110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257171 (or 5257163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122101211110112 its reverse (211011112101221), we get a palindrome (333112323211333).

The spelling of 122101211110112 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 56437 112874 225748 451496 733681 902992 1467362 1805984 2934724 5200711 5869448 10401422 11738896 20802844 23477792 41605688 67609243 83211376 135218486 166422752 270436972 540873944 1081747888 2163495776 293512526707 587025053414 1174050106828 2348100213656 3815662847191 4696200427312 7631325694382 9392400854624 15262651388764 30525302777528 61050605555056 122101211110112