Search a number
-
+
12122012031999 = 347463725325601
BaseRepresentation
bin1011000001100110000000…
…1110001001101111111111
31120220212000212020112022120
42300121200032021233333
53042101340040010444
641440435255214023
72360533521121302
oct260314016115777
946825025215276
1012122012031999
113953a09854391
1214393b1377313
1369c1406a4a1c
142dc9cc232b39
151604c4863b19
hexb0660389bff

12122012031999 has 32 divisors (see below), whose sum is σ = 16545147899904. Its totient is φ = 7890918604800.

The previous prime is 12122012031889. The next prime is 12122012032033. The reversal of 12122012031999 is 99913021022121.

It is not a de Polignac number, because 12122012031999 - 217 = 12122011900927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122012031999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122012031799) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 473484799 + ... + 473510399.

It is an arithmetic number, because the mean of its divisors is an integer number (517035871872).

Almost surely, 212122012031999 is an apocalyptic number.

12122012031999 is a deficient number, since it is larger than the sum of its proper divisors (4423135867905).

12122012031999 is a wasteful number, since it uses less digits than its factorization.

12122012031999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367.

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 12122012031999 in words is "twelve trillion, one hundred twenty-two billion, twelve million, thirty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 47 141 463 1389 7253 21759 21761 25601 65283 76803 340891 1022673 1203247 3358139 3609741 10074417 11853263 35559789 157832533 185684053 473497599 557052159 557103361 1671310083 8727150491 26181451473 85971716539 257915149617 4040670677333 12122012031999