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121212122021120 = 285137284382333
BaseRepresentation
bin11011100011110111100101…
…011110011011110100000000
3120220011202200012012121210002
4123203313211132123310000
5111341414411214133440
61105444025150255132
734350200244313514
oct3343674536336400
9526152605177702
10121212122021120
1135692854984179
121171787a4b74a8
13528333c230030
1421d09ab49a144
15e03013666115
hex6e3de579bd00

121212122021120 has 72 divisors (see below), whose sum is σ = 312674827304616. Its totient is φ = 44755245047808.

The previous prime is 121212122021093. The next prime is 121212122021191. The reversal of 121212122021120 is 21120221212121.

It can be written as a sum of positive squares in 4 ways, for example, as 6380837665024 + 114831284356096 = 2526032^2 + 10715936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121212122021092 and 121212122021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642174527 + ... + 3642207806.

Almost surely, 2121212122021120 is an apocalyptic number.

121212122021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212122021120 is an abundant number, since it is smaller than the sum of its proper divisors (191462705283496).

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

121212122021120 is an equidigital number, since it uses as much as digits as its factorization.

121212122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284382367 (or 7284382353 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121212122021120 its reverse (21120221212121), we get a palindrome (142332343233241).

The spelling of 121212122021120 in words is "one hundred 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 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 7284382333 14568764666 29137529332 36421911665 58275058664 72843823330 94696970329 116550117328 145687646660 189393940658 233100234656 291375293320 378787881316 466200469312 473484851645 582750586640 757575762632 932400938624 946969703290 1165501173280 1515151525264 1864801877248 1893939406580 2331002346560 3030303050528 3787878813160 4662004693120 6060606101056 7575757626320 9324009386240 12121212202112 15151515252640 24242424404224 30303030505280 60606061010560 121212122021120