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121122100020 = 22352018701667
BaseRepresentation
bin111000011001101110…
…0001001001100110100
3102120122012121012100110
41300303130021030310
53441024224200040
6131350454543020
711515342602015
oct1606334111464
9376565535313
10121122100020
11474052a4509
121b583667a70
13b56380528c
145c1039900c
15323d754980
hex1c33709334

121122100020 has 24 divisors (see below), whose sum is σ = 339141880224. Its totient is φ = 32299226656.

The previous prime is 121122100007. The next prime is 121122100039. The reversal of 121122100020 is 20001221121.

It is a super-2 number, since 2×1211221000202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121122099969 and 121122100005.

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 7 ways as a sum of consecutive naturals, for example, 1009350774 + ... + 1009350893.

It is an arithmetic number, because the mean of its divisors is an integer number (14130911676).

Almost surely, 2121122100020 is an apocalyptic number.

121122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122100020 is an abundant number, since it is smaller than the sum of its proper divisors (218019780204).

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

121122100020 is a wasteful number, since it uses less digits than its factorization.

121122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018701679 (or 2018701677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121122100020 its reverse (20001221121), we get a palindrome (141123321141).

The spelling of 121122100020 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2018701667 4037403334 6056105001 8074806668 10093508335 12112210002 20187016670 24224420004 30280525005 40374033340 60561050010 121122100020