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122022020122220 = 2251959101318612887
BaseRepresentation
bin11011101111101001110111…
…001010100000011001101100
3121000001012011101100222212202
4123233221313022200121230
5111443202044122402340
61111304050413321032
734462541260506251
oct3357516712403154
9530035141328782
10122022020122220
1135975280284809
1211828827796178
13531181ca39c5a
14221bc7c21b428
15e191158d8c15
hex6efa772a066c

122022020122220 has 192 divisors, whose sum is σ = 274818115353600. Its totient is φ = 45371200343040.

The previous prime is 122022020122193. The next prime is 122022020122273. The reversal of 122022020122220 is 22221020220221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122022020122192 and 122022020122201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42266025617 + ... + 42266028503.

It is an arithmetic number, because the mean of its divisors is an integer number (1431344350800).

Almost surely, 2122022020122220 is an apocalyptic number.

122022020122220 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 122022020122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137409057676800).

122022020122220 is an abundant number, since it is smaller than the sum of its proper divisors (152796095231380).

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

122022020122220 is a wasteful number, since it uses less digits than its factorization.

122022020122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122022020122220 its reverse (22221020220221), we get a palindrome (144243040342441).

The spelling of 122022020122220 in words is "one hundred twenty-two trillion, twenty-two billion, twenty million, one hundred twenty-two thousand, two hundred twenty".