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122120001120 = 253513191030027
BaseRepresentation
bin111000110111011101…
…0110101011001100000
3102200012202022211022110
41301232322311121200
54000100210013440
6132033503235320
711552150611455
oct1615672653140
9380182284273
10122120001120
1147877614367
121b8018a8b40
13b692488cc0
145ca6b1b82c
15329b16e080
hex1c6eeb5660

122120001120 has 192 divisors, whose sum is σ = 436072654080. Its totient is φ = 28478158848.

The previous prime is 122120001089. The next prime is 122120001131. The reversal of 122120001120 is 21100021221.

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 = 122120001096 and 122120001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396454 + ... + 633573.

It is an arithmetic number, because the mean of its divisors is an integer number (2271211740).

Almost surely, 2122120001120 is an apocalyptic number.

122120001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120001120 is an abundant number, since it is smaller than the sum of its proper divisors (313952652960).

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

122120001120 is a wasteful number, since it uses less digits than its factorization.

122120001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030077 (or 1030069 counting only the distinct ones).

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

Adding to 122120001120 its reverse (21100021221), we get a palindrome (143220022341).

The spelling of 122120001120 in words is "one hundred twenty-two billion, one hundred twenty million, one thousand, one hundred twenty".