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122020221012 = 22329615748079
BaseRepresentation
bin111000110100011111…
…0001101000001010100
3102122221210120110201220
41301220332031001110
53444344134033022
6132015540450340
711546526523404
oct1615076150124
9378853513656
10122020221012
1147826263068
121b7943a99b0
13b6778c1611
145c97786804
15329250e85c
hex1c68f8d054

122020221012 has 48 divisors (see below), whose sum is σ = 299360006400. Its totient is φ = 38627084160.

The previous prime is 122020220989. The next prime is 122020221049. The reversal of 122020221012 is 210122020221.

It is a junction number, because it is equal to n+sod(n) for n = 122020220982 and 122020221000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852812 + ... + 2895267.

It is an arithmetic number, because the mean of its divisors is an integer number (6236666800).

Almost surely, 2122020221012 is an apocalyptic number.

122020221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122020221012 is an abundant number, since it is smaller than the sum of its proper divisors (177339785388).

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

122020221012 is a wasteful number, since it uses less digits than its factorization.

122020221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748176 (or 5748174 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122020221012 its reverse (210122020221), we get a palindrome (332142241233).

The spelling of 122020221012 in words is "one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 3538 5307 7076 10614 21228 5748079 11496158 17244237 22992316 34488474 68976948 166694291 333388582 350632819 500082873 666777164 701265638 1000165746 1051898457 1402531276 2000331492 2103796914 4207593828 10168351751 20336703502 30505055253 40673407004 61010110506 122020221012