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121001332212 = 223237531713997
BaseRepresentation
bin111000010110000111…
…1011100110111110100
3102120022210100120001200
41300230033130313310
53440302320112322
6131330502252500
711512345232205
oct1605417346764
9376283316050
10121001332212
1147353108902
121b54b127130
13b54479ca37
145bdc31d5ac
153232d4b8ac
hex1c2c3dcdf4

121001332212 has 72 divisors (see below), whose sum is σ = 320058274536. Its totient is φ = 38503206144.

The previous prime is 121001332187. The next prime is 121001332219. The reversal of 121001332212 is 212233100121.

121001332212 is a `hidden beast` number, since 121 + 0 + 0 + 1 + 332 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65656887696 + 55344444516 = 256236^2 + 235254^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001332219) 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, 786403 + ... + 927594.

It is an arithmetic number, because the mean of its divisors is an integer number (4445253813).

Almost surely, 2121001332212 is an apocalyptic number.

121001332212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121001332212 is an abundant number, since it is smaller than the sum of its proper divisors (199056942324).

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

121001332212 is a wasteful number, since it uses less digits than its factorization.

121001332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714097 (or 1714092 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121001332212 its reverse (212233100121), we get a palindrome (333234432333).

The spelling of 121001332212 in words is "one hundred twenty-one billion, one million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 444 477 636 666 954 1332 1908 1961 3922 5883 7844 11766 17649 23532 35298 70596 1713997 3427994 5141991 6855988 10283982 15425973 20567964 30851946 61703892 63417889 90841841 126835778 181683682 190253667 253671556 272525523 363367364 380507334 545051046 570761001 761014668 817576569 1090102092 1141522002 1635153138 2283044004 3270306276 3361148117 6722296234 10083444351 13444592468 20166888702 30250333053 40333777404 60500666106 121001332212