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122102210120 = 23511953291191
BaseRepresentation
bin111000110110111011…
…0111101111001001000
3102200011111211221122112
41301231312331321020
54000031131210440
6132032030041452
711551543442612
oct1615566757110
9380144757575
10122102210120
1147868572760
121b7b7949288
13b68b89a197
145ca4609db2
153299807965
hex1c6ddbde48

122102210120 has 64 divisors (see below), whose sum is σ = 300020941440. Its totient is φ = 44354060800.

The previous prime is 122102210077. The next prime is 122102210129. The reversal of 122102210120 is 21012201221.

It is a junction number, because it is equal to n+sod(n) for n = 122102210095 and 122102210104.

It is not an unprimeable number, because it can be changed into a prime (122102210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273725 + ... + 564915.

It is an arithmetic number, because the mean of its divisors is an integer number (4687827210).

Almost surely, 2122102210120 is an apocalyptic number.

122102210120 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 122102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150010470720).

122102210120 is an abundant number, since it is smaller than the sum of its proper divisors (177918731320).

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

122102210120 is a wasteful number, since it uses less digits than its factorization.

122102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292166 (or 292162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102210120 its reverse (21012201221), we get a palindrome (143114411341).

The spelling of 122102210120 in words is "one hundred twenty-two billion, one hundred two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 953 1906 3812 4765 7624 9530 10483 19060 20966 38120 41932 52415 83864 104830 209660 291191 419320 582382 1164764 1455955 2329528 2911910 3203101 5823820 6406202 11647640 12812404 16015505 25624808 32031010 64062020 128124040 277505023 555010046 1110020092 1387525115 2220040184 2775050230 3052555253 5550100460 6105110506 11100200920 12210221012 15262776265 24420442024 30525552530 61051105060 122102210120