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122010212212020 = 2232511757487716691
BaseRepresentation
bin11011101111011110110111…
…010110111001110100110100
3121000000001200110201000012100
4123233132313112321310310
5111443003403311241040
61111254415005022100
734461642541103136
oct3357366726716464
9530001613630170
10122010212212020
1135970270aa3040
1211826491254930
13531068a620142
14221b47bd23056
15e18b73e5db30
hex6ef7b75b9d34

122010212212020 has 288 divisors, whose sum is σ = 404383350623616. Its totient is φ = 29531334067200.

The previous prime is 122010212211973. The next prime is 122010212212051. The reversal of 122010212212020 is 20212212010221.

It is a happy number.

122010212212020 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 21 + 221 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122010212211984 and 122010212212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7309931875 + ... + 7309948565.

It is an arithmetic number, because the mean of its divisors is an integer number (1404108856332).

Almost surely, 2122010212212020 is an apocalyptic number.

122010212212020 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 122010212212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202191675311808).

122010212212020 is an abundant number, since it is smaller than the sum of its proper divisors (282373138411596).

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

122010212212020 is a wasteful number, since it uses less digits than its factorization.

122010212212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22346 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122010212212020 its reverse (20212212010221), we get a palindrome (142222424222241).

The spelling of 122010212212020 in words is "one hundred twenty-two trillion, ten billion, two hundred twelve million, two hundred twelve thousand, twenty".