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21212122021120 = 28588118810409
BaseRepresentation
bin1001101001010110101001…
…11111110111110100000000
32210002212012020220002111101
410310223110333313310000
510240014411214133440
6113040414143424144
74316345105141242
oct464532477676400
983085166802441
1021212122021120
116839012977aa8
1224670748b5054
13bab3aa0b70b4
1453495a688092
1526bb98d9669a
hex134ad4ff7d00

21212122021120 has 72 divisors (see below), whose sum is σ = 50867336446920. Its totient is φ = 8475217428480.

The previous prime is 21212122021117. The next prime is 21212122021127. The reversal of 21212122021120 is 2112022121212.

It can be written as a sum of positive squares in 4 ways, for example, as 126098850816 + 21086023170304 = 355104^2 + 4591952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212122021127) 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, 8277525 + ... + 10532884.

It is an arithmetic number, because the mean of its divisors is an integer number (706490783985).

Almost surely, 221212122021120 is an apocalyptic number.

21212122021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212122021120 is an abundant number, since it is smaller than the sum of its proper divisors (29655214425800).

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

21212122021120 is an equidigital number, since it uses as much as digits as its factorization.

21212122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18811311 (or 18811297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21212122021120 its reverse (2112022121212), we get a palindrome (23324144142332).

The spelling of 21212122021120 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 881 1280 1762 3524 4405 7048 8810 14096 17620 28192 35240 56384 70480 112768 140960 225536 281920 563840 1127680 18810409 37620818 75241636 94052045 150483272 188104090 300966544 376208180 601933088 752416360 1203866176 1504832720 2407732352 3009665440 4815464704 6019330880 12038661760 16571970329 24077323520 33143940658 66287881316 82859851645 132575762632 165719703290 265151525264 331439406580 530303050528 662878813160 1060606101056 1325757626320 2121212202112 2651515252640 4242424404224 5303030505280 10606061010560 21212122021120