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1212001140 = 223574995783
BaseRepresentation
bin100100000111101…
…1010101101110100
310010110121001000010
41020033122231310
54440233014030
6320133220220
742014561010
oct11017325564
93113531003
101212001140
11572163439
12299a91670
13164136b4c
14b6d75540
157160b6b0
hex483dab74

1212001140 has 96 divisors (see below), whose sum is σ = 3886848000. Its totient is φ = 276425856.

The previous prime is 1212001121. The next prime is 1212001157. The reversal of 1212001140 is 411002121.

It is a happy number.

1212001140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12120011402 = 2937893526722599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206689 + ... + 212471.

It is an arithmetic number, because the mean of its divisors is an integer number (40488000).

Almost surely, 21212001140 is an apocalyptic number.

1212001140 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 1212001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943424000).

1212001140 is an abundant number, since it is smaller than the sum of its proper divisors (2674846860).

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

1212001140 is a wasteful number, since it uses less digits than its factorization.

1212001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1212001140 is about 34813.8067438768. The cubic root of 1212001140 is about 1066.1893565414.

Adding to 1212001140 its reverse (411002121), we get a palindrome (1623003261).

The spelling of 1212001140 in words is "one billion, two hundred twelve million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1996 2495 2994 3493 4990 5783 5988 6986 7485 9980 10479 11566 13972 14970 17349 17465 20958 23132 28915 29940 34698 34930 40481 41916 52395 57830 69396 69860 80962 86745 104790 115660 121443 161924 173490 202405 209580 242886 346980 404810 485772 607215 809620 1214430 2428860 2885717 5771434 8657151 11542868 14428585 17314302 20200019 28857170 34628604 40400038 43285755 57714340 60600057 80800076 86571510 101000095 121200114 173143020 202000190 242400228 303000285 404000380 606000570 1212001140