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121222221012 = 223210930892513
BaseRepresentation
bin111000011100101101…
…0000100110011010100
3102120220011222212112100
41300321122010303110
53441230342033022
6131404432522100
711520666606654
oct1607132046324
9376804885470
10121222221012
1147456868932
121b5b10b0330
13b57b48bb79
145c1d7bc364
1532474301ac
hex1c39684cd4

121222221012 has 36 divisors (see below), whose sum is σ = 309234065140. Its totient is φ = 40036695552.

The previous prime is 121222220969. The next prime is 121222221041. The reversal of 121222221012 is 210122222121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50973899076 + 70248321936 = 225774^2 + 265044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15442333 + ... + 15450180.

Almost surely, 2121222221012 is an apocalyptic number.

121222221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121222221012 is an abundant number, since it is smaller than the sum of its proper divisors (188011844128).

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

121222221012 is a wasteful number, since it uses less digits than its factorization.

121222221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892632 (or 30892627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222221012 its reverse (210122222121), we get a palindrome (331344443133).

The spelling of 121222221012 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 30892513 61785026 92677539 123570052 185355078 278032617 370710156 556065234 1112130468 3367283917 6734567834 10101851751 13469135668 20203703502 30305555253 40407407004 60611110506 121222221012