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12212033100 = 2235240706777
BaseRepresentation
bin10110101111110010…
…01101011001001100
31011112002002120002020
423113321031121030
5200002240024400
65335442130140
7611424366021
oct132771153114
934462076066
1012212033100
1151a7413243
122449950950
1311c8072bb7
1483bc53548
154b71a52a0
hex2d7e4d64c

12212033100 has 36 divisors (see below), whose sum is σ = 35333483304. Its totient is φ = 3256542080.

The previous prime is 12212033083. The next prime is 12212033101. The reversal of 12212033100 is 133021221.

It is a super-2 number, since 2×122120331002 (a number of 21 digits) contains 22 as substring.

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 12212033100.

It is not an unprimeable number, because it can be changed into a prime (12212033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20353089 + ... + 20353688.

Almost surely, 212212033100 is an apocalyptic number.

12212033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212033100 is an abundant number, since it is smaller than the sum of its proper divisors (23121450204).

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

12212033100 is a wasteful number, since it uses less digits than its factorization.

12212033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40706794 (or 40706787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12212033100 its reverse (133021221), we get a palindrome (12345054321).

The spelling of 12212033100 in words is "twelve billion, two hundred twelve million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40706777 81413554 122120331 162827108 203533885 244240662 407067770 488481324 610601655 814135540 1017669425 1221203310 2035338850 2442406620 3053008275 4070677700 6106016550 12212033100