Search a number
-
+
12124401541 = 76183342101
BaseRepresentation
bin10110100101010101…
…11010111110000101
31011021222012102011221
423102222322332011
5144312321322131
65323032000341
7606311466310
oct132252727605
934258172157
1012124401541
1151619aa36a
1224245300b1
1311b2b6ccc5
14830361977
154ae645411
hex2d2abaf85

12124401541 has 16 divisors (see below), whose sum is σ = 14253337728. Its totient is φ = 10098792000.

The previous prime is 12124401517. The next prime is 12124401613. The reversal of 12124401541 is 14510442121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12124401541 is a prime.

It is a super-2 number, since 2×121244015412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124404541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135610 + ... + 206491.

It is an arithmetic number, because the mean of its divisors is an integer number (890833608).

Almost surely, 212124401541 is an apocalyptic number.

It is an amenable number.

12124401541 is a deficient number, since it is larger than the sum of its proper divisors (2128936187).

12124401541 is an equidigital number, since it uses as much as digits as its factorization.

12124401541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342252.

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 12124401541 its reverse (14510442121), we get a palindrome (26634843662).

The spelling of 12124401541 in words is "twelve billion, one hundred twenty-four million, four hundred one thousand, five hundred forty-one".

Divisors: 1 7 61 83 427 581 5063 35441 342101 2394707 20868161 28394383 146077127 198760681 1732057363 12124401541