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1201214144 = 261338543
BaseRepresentation
bin100011110011001…
…0001001011000000
310002201022000000202
41013212101023000
54430002323034
6315110104332
741524103024
oct10746211300
93081260022
101201214144
11567065a69
1229634b0a8
13161b2b000
14b5768384
15706ca47e
hex479912c0

1201214144 has 56 divisors (see below), whose sum is σ = 2582509440. Its totient is φ = 554341632.

The previous prime is 1201214137. The next prime is 1201214149. The reversal of 1201214144 is 4414121021.

It is not an unprimeable number, because it can be changed into a prime (1201214149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136337 + ... + 144879.

It is an arithmetic number, because the mean of its divisors is an integer number (46116240).

Almost surely, 21201214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291254720).

1201214144 is an abundant number, since it is smaller than the sum of its proper divisors (1381295296).

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

1201214144 is an frugal number, since it uses more digits than its factorization.

1201214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1201214144 is about 34658.5363799454. The cubic root of 1201214144 is about 1063.0168429681.

Adding to 1201214144 its reverse (4414121021), we get a palindrome (5615335165).

The spelling of 1201214144 in words is "one billion, two hundred one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 8543 8788 10816 17086 17576 34172 35152 68344 70304 111059 136688 140608 222118 273376 444236 546752 888472 1443767 1776944 2887534 3553888 5775068 7107776 11550136 18768971 23100272 37537942 46200544 75075884 92401088 150151768 300303536 600607072 1201214144