Search a number
-
+
12020570401 = 779103211039
BaseRepresentation
bin10110011000111101…
…10101100100100001
31011000201211020122011
423030132311210201
5144104231223101
65304442312521
7603611106520
oct131436654441
934021736564
1012020570401
115109331504
1223b57b8741
1311974b7768
148206544b7
154a5485751
hex2cc7b5921

12020570401 has 16 divisors (see below), whose sum is σ = 14046822400. Its totient is φ = 10074109968.

The previous prime is 12020570357. The next prime is 12020570411. The reversal of 12020570401 is 10407502021.

It is a happy number.

12020570401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12020570401 - 217 = 12020439329 is a prime.

It is a super-2 number, since 2×120205704012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12020570411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48561 + ... + 162478.

It is an arithmetic number, because the mean of its divisors is an integer number (877926400).

Almost surely, 212020570401 is an apocalyptic number.

It is an amenable number.

12020570401 is a deficient number, since it is larger than the sum of its proper divisors (2026251999).

12020570401 is a wasteful number, since it uses less digits than its factorization.

12020570401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211228.

The product of its (nonzero) digits is 560, while the sum is 22.

The spelling of 12020570401 in words is "twelve billion, twenty million, five hundred seventy thousand, four hundred one".

Divisors: 1 7 79 103 553 721 8137 56959 211039 1477273 16672081 21737017 116704567 152159119 1717224343 12020570401