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1141212120 = 233524139461
BaseRepresentation
bin100010000000101…
…1000001111011000
32221112101120201120
41010001120033120
54314122241440
6305124045240
740165100016
oct10401301730
92845346646
101141212120
11536203614
1227a233820
13152580159
14ab7c98b6
156a2c6dd0
hex440583d8

1141212120 has 64 divisors (see below), whose sum is σ = 3437929440. Its totient is φ = 303052800.

The previous prime is 1141212071. The next prime is 1141212169. The reversal of 1141212120 is 212121411.

It is an interprime number because it is at equal distance from previous prime (1141212071) and next prime (1141212169).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9190 + ... + 48650.

Almost surely, 21141212120 is an apocalyptic number.

1141212120 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 1141212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718964720).

1141212120 is an abundant number, since it is smaller than the sum of its proper divisors (2296717320).

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

1141212120 is a wasteful number, since it uses less digits than its factorization.

1141212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716 (or 39712 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1141212120 is about 33781.8312114663. The cubic root of 1141212120 is about 1045.0140394777.

Adding to 1141212120 its reverse (212121411), we get a palindrome (1353333531).

It can be divided in two parts, 11412 and 12120, that added together give a palindrome (23532).

The spelling of 1141212120 in words is "one billion, one hundred forty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 39461 78922 118383 157844 197305 236766 315688 394610 473532 591915 789220 947064 1183830 1578440 2367660 4735320 9510101 19020202 28530303 38040404 47550505 57060606 76080808 95101010 114121212 142651515 190202020 228242424 285303030 380404040 570606060 1141212120