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1201412124 = 2232119731277
BaseRepresentation
bin100011110011100…
…0001100000011100
310002201200001121100
41013213001200130
54430030141444
6315114233100
741525556153
oct10747014034
93081601540
101201412124
11567190790
12296425790
13161b9a163
14b57ba59a
1570718e69
hex479c181c

1201412124 has 72 divisors (see below), whose sum is σ = 3347246448. Its totient is φ = 360299520.

The previous prime is 1201412111. The next prime is 1201412129. The reversal of 1201412124 is 4212141021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201412097 and 1201412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201412129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22774 + ... + 54050.

It is an arithmetic number, because the mean of its divisors is an integer number (46489534).

Almost surely, 21201412124 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 1201412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673623224).

1201412124 is an abundant number, since it is smaller than the sum of its proper divisors (2145834324).

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

1201412124 is a wasteful number, since it uses less digits than its factorization.

1201412124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31395 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1201412124 is about 34661.3924128850. The cubic root of 1201412124 is about 1063.0752406913.

Adding to 1201412124 its reverse (4212141021), we get a palindrome (5413553145).

It can be divided in two parts, 120141 and 2124, that added together give a triangular number (122265 = T494).

The spelling of 1201412124 in words is "one billion, two hundred one million, four hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 31277 38412 62554 93831 125108 187662 281493 344047 375324 562986 688094 1032141 1125972 1376188 2064282 3033869 3096423 4128564 6067738 6192846 9101607 12135476 12385692 18203214 27304821 33372559 36406428 54609642 66745118 100117677 109219284 133490236 200235354 300353031 400470708 600706062 1201412124