Search a number
-
+
12211434020004 = 2234208324181249
BaseRepresentation
bin1011000110110011001000…
…1011111101110010100100
31121020101211211111012001020
42301230302023331302210
53100033004102120004
641545504430531140
72400150501354552
oct261546213756244
947211754435036
1012211434020004
11398892717550a
1214527a8666ab0
136a76c182966b
1430307246cbd2
151629aa0b78d9
hexb1b322fdca4

12211434020004 has 24 divisors (see below), whose sum is σ = 28494024300000. Its totient is φ = 4070381113344.

The previous prime is 12211434019991. The next prime is 12211434020017. The reversal of 12211434020004 is 40002043411221.

It is an interprime number because it is at equal distance from previous prime (12211434019991) and next prime (12211434020017).

It is a super-2 number, since 2×122114340200042 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 11585629 + ... + 12595620.

It is an arithmetic number, because the mean of its divisors is an integer number (1187251012500).

Almost surely, 212211434020004 is an apocalyptic number.

It is an amenable number.

12211434020004 is an abundant number, since it is smaller than the sum of its proper divisors (16282590279996).

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

12211434020004 is a wasteful number, since it uses less digits than its factorization.

12211434020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223339 (or 24223337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12211434020004 its reverse (40002043411221), we get a palindrome (52213477431225).

The spelling of 12211434020004 in words is "twelve trillion, two hundred eleven billion, four hundred thirty-four million, twenty thousand, four".

Divisors: 1 2 3 4 6 12 42083 84166 126249 168332 252498 504996 24181249 48362498 72543747 96724996 145087494 290174988 1017619501667 2035239003334 3052858505001 4070478006668 6105717010002 12211434020004