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122102212020 = 2235171091397901
BaseRepresentation
bin111000110110111011…
…0111110010110110100
3102200011111212001020220
41301231312332112310
54000031131241040
6132032030054340
711551543451265
oct1615566762664
9380144761226
10122102212020
1147868574128
121b7b794a3b0
13b68b89acc9
145ca460a96c
1532998082d0
hex1c6ddbe5b4

122102212020 has 192 divisors, whose sum is σ = 367992979200. Its totient is φ = 30141849600.

The previous prime is 122102212019. The next prime is 122102212039. The reversal of 122102212020 is 20212201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 15450070 + ... + 15457970.

It is an arithmetic number, because the mean of its divisors is an integer number (1916630100).

Almost surely, 2122102212020 is an apocalyptic number.

122102212020 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 122102212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183996489600).

122102212020 is an abundant number, since it is smaller than the sum of its proper divisors (245890767180).

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

122102212020 is a wasteful number, since it uses less digits than its factorization.

122102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102212020 its reverse (20212201221), we get a palindrome (142314413241).

The spelling of 122102212020 in words is "one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twenty".