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1221212002120 = 235114319836551
BaseRepresentation
bin10001110001010101111…
…010000101011101001000
311022202011100211110120121
4101301111322011131020
5130002020233031440
62333003403233024
7154141525513555
oct21612572053510
94282140743517
101221212002120
11430a0537a260
12178819518774
138b2100c9a56
144316d785a2c
1521b7706334a
hex11c55e85748

1221212002120 has 128 divisors (see below), whose sum is σ = 3007990702080. Its totient is φ = 442528480000.

The previous prime is 1221212002103. The next prime is 1221212002133. The reversal of 1221212002120 is 212002121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221212002094 and 1221212002103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 186412845 + ... + 186419395.

It is an arithmetic number, because the mean of its divisors is an integer number (23499927360).

Almost surely, 21221212002120 is an apocalyptic number.

1221212002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503995351040).

1221212002120 is an abundant number, since it is smaller than the sum of its proper divisors (1786778699960).

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

1221212002120 is a wasteful number, since it uses less digits than its factorization.

1221212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221212002120 its reverse (212002121221), we get a palindrome (1433214123341).

The spelling of 1221212002120 in words is "one trillion, two hundred twenty-one billion, two hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 431 440 862 983 1724 1966 2155 3448 3932 4310 4741 4915 6551 7864 8620 9482 9830 10813 13102 17240 18964 19660 21626 23705 26204 32755 37928 39320 43252 47410 52408 54065 65510 72061 86504 94820 108130 131020 144122 189640 216260 262040 288244 360305 423673 432520 576488 720610 847346 1441220 1694692 2118365 2823481 2882440 3389384 4236730 4660403 5646962 6439633 8473460 9320806 11293924 12879266 14117405 16946920 18641612 22587848 23302015 25758532 28234810 31058291 32198165 37283224 46604030 51517064 56469620 62116582 64396330 70835963 93208060 112939240 124233164 128792660 141671926 155291455 186416120 248466328 257585320 283343852 310582910 354179815 566687704 621165820 708359630 1242331640 1416719260 2775481823 2833438520 5550963646 11101927292 13877409115 22203854584 27754818230 30530300053 55509636460 61060600106 111019272920 122121200212 152651500265 244242400424 305303000530 610606001060 1221212002120