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1212141040 = 2451110912637
BaseRepresentation
bin100100000111111…
…1100110111110000
310010110212010220121
41020033330313300
54440302003130
6320140220024
742016012615
oct11017746760
93113763817
101212141040
11572249560
12299b3a614
13164185726
14b6db050c
1571637d7a
hex483fcdf0

1212141040 has 80 divisors (see below), whose sum is σ = 3102881760. Its totient is φ = 436700160.

The previous prime is 1212141037. The next prime is 1212141041. The reversal of 1212141040 is 401412121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212141041) 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, 89602 + ... + 102238.

It is an arithmetic number, because the mean of its divisors is an integer number (38786022).

Almost surely, 21212141040 is an apocalyptic number.

1212141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551440880).

1212141040 is an abundant number, since it is smaller than the sum of its proper divisors (1890740720).

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

1212141040 is a wasteful number, since it uses less digits than its factorization.

1212141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1212141040 is about 34815.8159462047. The cubic root of 1212141040 is about 1066.2303779969.

Adding to 1212141040 its reverse (401412121), we get a palindrome (1613553161).

The spelling of 1212141040 in words is "one billion, two hundred twelve million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 4360 4796 5995 8720 9592 11990 12637 19184 23980 25274 47960 50548 63185 95920 101096 126370 139007 202192 252740 278014 505480 556028 695035 1010960 1112056 1377433 1390070 2224112 2754866 2780140 5509732 5560280 6887165 11019464 11120560 13774330 15151763 22038928 27548660 30303526 55097320 60607052 75758815 110194640 121214104 151517630 242428208 303035260 606070520 1212141040