Search a number
-
+
12001010000021 = 73891392828257
BaseRepresentation
bin1010111010100011001111…
…1100000010000010010101
31120111021201000120102100122
42232220303330002002111
53033111032030000041
641305104325521325
72346021133613000
oct256506374020225
946437630512318
1012001010000021
113907666308869
121419a61b73245
136908c8a1b633
142d6bcdbb0537
1515c291929c4b
hexaea33f02095

12001010000021 has 32 divisors (see below), whose sum is σ = 14254420320000. Its totient is φ = 10097824214016.

The previous prime is 12001009999981. The next prime is 12001010000081. The reversal of 12001010000021 is 12000001010021.

It is not a de Polignac number, because 12001010000021 - 218 = 12001009737877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001009999963 and 12001010000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001010000081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829125 + ... + 5657381.

It is an arithmetic number, because the mean of its divisors is an integer number (445450635000).

Almost surely, 212001010000021 is an apocalyptic number.

It is an amenable number.

12001010000021 is a deficient number, since it is larger than the sum of its proper divisors (2253410319979).

12001010000021 is an equidigital number, since it uses as much as digits as its factorization.

12001010000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828506 (or 2828492 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001010000021 its reverse (12000001010021), we get a palindrome (24001011010042).

The spelling of 12001010000021 in words is "twelve trillion, one billion, ten million, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 7 49 89 139 343 623 973 4361 6811 12371 30527 47677 86597 606179 2828257 4243253 19797799 138584593 251714873 393127723 970092151 1762004111 2751894061 12334028777 19263258427 34988367347 86338201439 134842808989 244918571429 1714430000003 12001010000021