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122122111020120 = 2332515117912550523
BaseRepresentation
bin11011110001000111000101…
…000010111110110001011000
3121000101202111220001102121100
4123301013011002332301120
5112001322040410120440
61111422042344511400
734503013520220231
oct3361070502766130
9530352456042540
10122122111020120
1135a03772a54842
12118440bba7b560
13531b0b1324223
142222a55380088
15e1ba22acb230
hex6f11c50bec58

122122111020120 has 192 divisors, whose sum is σ = 401757333868800. Its totient is φ = 32169497990400.

The previous prime is 122122111020103. The next prime is 122122111020179. The reversal of 122122111020120 is 21020111221221.

122122111020120 is a `hidden beast` number, since 1 + 221 + 2 + 211 + 10 + 201 + 20 = 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 = 122122111020093 and 122122111020102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3455179 + ... + 16005701.

It is an arithmetic number, because the mean of its divisors is an integer number (2092486113900).

Almost surely, 2122122111020120 is an apocalyptic number.

122122111020120 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 122122111020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200878666934400).

122122111020120 is an abundant number, since it is smaller than the sum of its proper divisors (279635222848680).

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

122122111020120 is a wasteful number, since it uses less digits than its factorization.

122122111020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550870 (or 12550863 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122122111020120 its reverse (21020111221221), we get a palindrome (143142222241341).

The spelling of 122122111020120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred twenty".