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1214111120 = 24523659843
BaseRepresentation
bin100100001011101…
…1101110110010000
310010121120020100112
41020113131312100
54441303023440
6320250340452
742041526365
oct11027356620
93117506315
101214111120
11573374722
1229a72a728
131646c5361
14b736446c
15718c6965
hex485ddd90

1214111120 has 40 divisors (see below), whose sum is σ = 2945543616. Its totient is φ = 464528768.

The previous prime is 1214111111. The next prime is 1214111123. The reversal of 1214111120 is 211114121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1214111095 and 1214111104.

It is not an unprimeable number, because it can be changed into a prime (1214111123) 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, 328082 + ... + 331761.

Almost surely, 21214111120 is an apocalyptic number.

1214111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214111120 is an abundant number, since it is smaller than the sum of its proper divisors (1731432496).

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

1214111120 is a wasteful number, since it uses less digits than its factorization.

1214111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659879 (or 659873 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1214111120 is about 34844.0973480445. The cubic root of 1214111120 is about 1066.8077096480.

Adding to 1214111120 its reverse (211114121), we get a palindrome (1425225241).

The spelling of 1214111120 in words is "one billion, two hundred fourteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 659843 1319686 2639372 3299215 5278744 6598430 10557488 13196860 15176389 26393720 30352778 52787440 60705556 75881945 121411112 151763890 242822224 303527780 607055560 1214111120