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121011112112202 = 232134112613207433
BaseRepresentation
bin11011100000111100011000…
…010110011111000001001010
3120212110112211110121020200200
4123200330120112133001022
5111330121224200042302
61105211423142313030
734326523111265604
oct3340743026370112
9525415743536620
10121011112112202
1135615585041504
12116a4920728776
13526a3b6914720
1421c4d7d20c174
15decb9b70481c
hex6e0f1859f04a

121011112112202 has 48 divisors (see below), whose sum is σ = 289246072876488. Its totient is φ = 36326037404160.

The previous prime is 121011112112201. The next prime is 121011112112221. The reversal of 121011112112202 is 202211211110121.

It is a happy number.

121011112112202 is a `hidden beast` number, since 1 + 210 + 11 + 11 + 211 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68614201990161 + 52396910122041 = 8283369^2 + 7238571^2 .

It is a super-4 number, since 4×1210111121122024 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121011112112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6306594123 + ... + 6306613310.

Almost surely, 2121011112112202 is an apocalyptic number.

121011112112202 is an abundant number, since it is smaller than the sum of its proper divisors (168234960764286).

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

121011112112202 is a wasteful number, since it uses less digits than its factorization.

121011112112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613207495 (or 12613207492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121011112112202 its reverse (202211211110121), we get a palindrome (323222323222323).

The spelling of 121011112112202 in words is "one hundred twenty-one trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 12613207433 25226414866 37839622299 75679244598 113518866897 163971696629 227037733794 327943393258 491915089887 517141504753 983830179774 1034283009506 1475745269661 1551424514259 2951490539322 3102849028518 4654273542777 6722839561789 9308547085554 13445679123578 20168518685367 40337037370734 60505556056101 121011112112202