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122132120232100 = 225211111029200211
BaseRepresentation
bin11011110001010000011001…
…101001000110000010100100
3121000102201100110011002012011
4123301100121221012002210
5112002003040234411400
61111430415501004004
734503516536140246
oct3361203151060244
9530381313132164
10122132120232100
1135a07a39990960
1211846033b53604
13531c017bb8674
142223324820096
15e1be0b6a88ba
hex6f1419a460a4

122132120232100 has 36 divisors (see below), whose sum is σ = 289120037352048. Its totient is φ = 44411680084000.

The previous prime is 122132120232061. The next prime is 122132120232127. The reversal of 122132120232100 is 1232021231221.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 11 ways as a sum of consecutive naturals, for example, 55514599006 + ... + 55514601205.

It is an arithmetic number, because the mean of its divisors is an integer number (8031112148668).

Almost surely, 2122132120232100 is an apocalyptic number.

122132120232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132120232100 is an abundant number, since it is smaller than the sum of its proper divisors (166987917119948).

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

122132120232100 is a wasteful number, since it uses less digits than its factorization.

122132120232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111029200236 (or 111029200229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122132120232100 its reverse (1232021231221), we get a palindrome (123364141463321).

The spelling of 122132120232100 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred twenty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 111029200211 222058400422 444116800844 555146001055 1110292002110 1221321202321 2220584004220 2442642404642 2775730005275 4885284809284 5551460010550 6106606011605 11102920021100 12213212023210 24426424046420 30533030058025 61066060116050 122132120232100