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20212111200 = 253528421713
BaseRepresentation
bin10010110100101111…
…000101011101100000
31221011121122122010010
4102310233011131200
5312343300024300
613141343404520
71313606052621
oct226457053540
957147578103
1020212111200
118632234336
123b00bb3740
131ba1612718
14d9a53ba48
157d46b8a50
hex4b4bc5760

20212111200 has 72 divisors (see below), whose sum is σ = 65790429768. Its totient is φ = 5389895680.

The previous prime is 20212111187. The next prime is 20212111207. The reversal of 20212111200 is 211121202.

It is a super-2 number, since 2×202121112002 (a number of 21 digits) 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 not an unprimeable number, because it can be changed into a prime (20212111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4208457 + ... + 4213256.

It is an arithmetic number, because the mean of its divisors is an integer number (913755969).

Almost surely, 220212111200 is an apocalyptic number.

20212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212111200 is an abundant number, since it is smaller than the sum of its proper divisors (45578318568).

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

20212111200 is a wasteful number, since it uses less digits than its factorization.

20212111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421736 (or 8421723 counting only the distinct ones).

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

Adding to 20212111200 its reverse (211121202), we get a palindrome (20423232402).

The spelling of 20212111200 in words is "twenty billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8421713 16843426 25265139 33686852 42108565 50530278 67373704 84217130 101060556 126325695 134747408 168434260 202121112 210542825 252651390 269494816 336868520 404242224 421085650 505302780 631628475 673737040 808484448 842171300 1010605560 1263256950 1347474080 1684342600 2021211120 2526513900 3368685200 4042422240 5053027800 6737370400 10106055600 20212111200