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122132312003220 = 22354733430073639
BaseRepresentation
bin11011110001010000100101…
…000100101001001010010100
3121000102201211211000001201020
4123301100211010221022110
5112002003433333100340
61111430450511201140
734503524355152601
oct3361204504511224
9530381754001636
10122132312003220
1135a08028163392
12118460882161b0
13531c0488512bc
14222334209d6a8
15e1be1d4399d0
hex6f1425129294

122132312003220 has 48 divisors (see below), whose sum is σ = 342042726775680. Its totient is φ = 32561735280256.

The previous prime is 122132312003189. The next prime is 122132312003227. The reversal of 122132312003220 is 22300213231221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132312003227) 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 15 ways as a sum of consecutive naturals, for example, 214752840 + ... + 215320799.

It is an arithmetic number, because the mean of its divisors is an integer number (7125890141160).

Almost surely, 2122132312003220 is an apocalyptic number.

122132312003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132312003220 is an abundant number, since it is smaller than the sum of its proper divisors (219910414772460).

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

122132312003220 is a wasteful number, since it uses less digits than its factorization.

122132312003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430078384 (or 430078382 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122132312003220 its reverse (22300213231221), we get a palindrome (144432525234441).

The spelling of 122132312003220 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred twelve million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4733 9466 14199 18932 23665 28398 47330 56796 70995 94660 141990 283980 430073639 860147278 1290220917 1720294556 2150368195 2580441834 4300736390 5160883668 6451104585 8601472780 12902209170 25804418340 2035538533387 4071077066774 6106615600161 8142154133548 10177692666935 12213231200322 20355385333870 24426462400644 30533078000805 40710770667740 61066156001610 122132312003220