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12001201120 = 255312419597
BaseRepresentation
bin10110010110101001…
…11100101111100000
31010222101101011222101
423023110330233200
5144034301413440
65302511220144
7603254345356
oct131324745740
933871334871
1012001201120
1150a9402037
1223ab217654
13119349544c
1481bc517d6
154a390b69a
hex2cb53cbe0

12001201120 has 48 divisors (see below), whose sum is σ = 29267457408. Its totient is φ = 4645624320.

The previous prime is 12001201111. The next prime is 12001201127. The reversal of 12001201120 is 2110210021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12001201097 and 12001201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001201127) 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, 1204839 + ... + 1214758.

It is an arithmetic number, because the mean of its divisors is an integer number (609738696).

Almost surely, 212001201120 is an apocalyptic number.

12001201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001201120 is an abundant number, since it is smaller than the sum of its proper divisors (17266256288).

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

12001201120 is a wasteful number, since it uses less digits than its factorization.

12001201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419643 (or 2419635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001201120 its reverse (2110210021), we get a palindrome (14111411141).

The spelling of 12001201120 in words is "twelve billion, one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 2419597 4839194 9678388 12097985 19356776 24195970 38713552 48391940 75007507 77427104 96783880 150015014 193567760 300030028 375037535 387135520 600060056 750075070 1200120112 1500150140 2400240224 3000300280 6000600560 12001201120