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122203312120120 = 2357111910731162753
BaseRepresentation
bin11011110010010010101101…
…000000100110000100111000
3121000200112002221020201001111
4123302102231000212010320
5112004134340400320440
61111523232050130104
734511616665201140
oct3362225500460470
9530615087221044
10122203312120120
1135a35151949050
12118579a1b80934
1353259522470aa
142226959853920
15e1dbc67514ea
hex6f24ad026138

122203312120120 has 512 divisors, whose sum is σ = 365395757875200. Its totient is φ = 35631890841600.

The previous prime is 122203312120079. The next prime is 122203312120193. The reversal of 122203312120120 is 21021213302221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122203312120091 and 122203312120100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1947338664 + ... + 1947401416.

It is an arithmetic number, because the mean of its divisors is an integer number (713663589600).

Almost surely, 2122203312120120 is an apocalyptic number.

122203312120120 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 122203312120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182697878937600).

122203312120120 is an abundant number, since it is smaller than the sum of its proper divisors (243192445755080).

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

122203312120120 is a wasteful number, since it uses less digits than its factorization.

122203312120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63219 (or 63215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122203312120120 its reverse (21021213302221), we get a palindrome (143224525422341).

The spelling of 122203312120120 in words is "one hundred twenty-two trillion, two hundred three billion, three hundred twelve million, one hundred twenty thousand, one hundred twenty".