Search a number
-
+
12221001211032 = 2332739229683529
BaseRepresentation
bin1011000111010110110001…
…1011111001110010011000
31121021022112120211211212200
42301311230123321302120
53100212102302223112
641554130033010200
72400636542220015
oct261655433716230
947238476754780
1012221001211032
113991996645759
1214546186b3960
136a8587958b43
143036dcd2a70c
15162d69e80cdc
hexb1d6c6f9c98

12221001211032 has 48 divisors (see below), whose sum is σ = 33143333379000. Its totient is φ = 4068154647936.

The previous prime is 12221001211031. The next prime is 12221001211033. The reversal of 12221001211032 is 23011210012221.

It is an interprime number because it is at equal distance from previous prime (12221001211031) and next prime (12221001211033).

It is a super-2 number, since 2×122210012110322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12221001210996 and 12221001211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221001211031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114788557 + ... + 114894972.

Almost surely, 212221001211032 is an apocalyptic number.

12221001211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221001211032 is an abundant number, since it is smaller than the sum of its proper divisors (20922332167968).

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

12221001211032 is a wasteful number, since it uses less digits than its factorization.

12221001211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229684280 (or 229684273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12221001211032 its reverse (23011210012221), we get a palindrome (35232211223253).

The spelling of 12221001211032 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 739 1478 2217 2956 4434 5912 6651 8868 13302 17736 26604 53208 229683529 459367058 689050587 918734116 1378101174 1837468232 2067151761 2756202348 4134303522 5512404696 8268607044 16537214088 169736127931 339472255862 509208383793 678944511724 1018416767586 1357889023448 1527625151379 2036833535172 3055250302758 4073667070344 6110500605516 12221001211032