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121101213331122 = 23374461712226303
BaseRepresentation
bin11011100010010000010010…
…110011010110111010110010
3120212210011101202221102001220
4123202100102303112322302
5111333110241103043442
61105321043540205510
734336162650102213
oct3342202263267262
9525704352842056
10121101213331122
113564a8109068a2
12116ba287399896
135275a456b624b
1421c948973740a
15e001c18c6eec
hex6e2412cd6eb2

121101213331122 has 32 divisors (see below), whose sum is σ = 248754033733632. Its totient is φ = 39275185682304.

The previous prime is 121101213331117. The next prime is 121101213331151. The reversal of 121101213331122 is 221133312101121.

It is a super-6 number, since 6×1211012133311226 (a number of 86 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121101213331092 and 121101213331101.

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 15 ways as a sum of consecutive naturals, for example, 3791823 + ... + 16018125.

It is an arithmetic number, because the mean of its divisors is an integer number (7773563554176).

Almost surely, 2121101213331122 is an apocalyptic number.

121101213331122 is an abundant number, since it is smaller than the sum of its proper divisors (127652820402510).

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

121101213331122 is a wasteful number, since it uses less digits than its factorization.

121101213331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270962.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121101213331122 its reverse (221133312101121), we get a palindrome (342234525432243).

The spelling of 121101213331122 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 44617 89234 133851 267702 1650829 3301658 4952487 9904974 12226303 24452606 36678909 73357818 452373211 904746422 1357119633 2714239266 545500960951 1091001921902 1636502882853 3273005765706 20183535555187 40367071110374 60550606665561 121101213331122