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22121022012122 = 211101127302325931
BaseRepresentation
bin1010000011110011100111…
…01010001011101011011010
32220022202020001120120012002
411001321303222023223122
510344412323113341442
6115014131320521002
74442122355452355
oct501716352135332
986282201516162
1022121022012122
117059522260860
122593251620162
13c460076a8867
1456693da9129c
152856428e7732
hex141e73a8bada

22121022012122 has 64 divisors (see below), whose sum is σ = 36857887653888. Its totient is φ = 9873417960000.

The previous prime is 22121022012101. The next prime is 22121022012139.

22121022012122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221210220121222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121022012094 and 22121022012103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853059497 + ... + 853085427.

It is an arithmetic number, because the mean of its divisors is an integer number (575904494592).

Almost surely, 222121022012122 is an apocalyptic number.

22121022012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121022012122 is a deficient number, since it is larger than the sum of its proper divisors (14736865641766).

22121022012122 is a wasteful number, since it uses less digits than its factorization.

22121022012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29195.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2212102 and 2012122, that added together give a palindrome (4224224).

The spelling of 22121022012122 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 101 127 202 254 1111 1397 2222 2794 3023 6046 12827 25654 25931 33253 51862 66506 141097 282194 285241 305323 383921 570482 610646 767842 2619031 3293237 3358553 4223131 5238062 6586474 6717106 8446262 28809341 36225607 38776021 57618682 72451214 77552042 78389413 156778826 332616937 426536231 665233874 853072462 862283543 1724567086 3658786307 7317572614 7917330713 9955455451 15834661426 19910910902 87090637843 109510009961 174181275686 219020019922 1005501000551 2011002001102 11060511006061 22121022012122