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122104002020 = 2257111312234987
BaseRepresentation
bin111000110110111110…
…1110011010111100100
3102200011122012222200012
41301231331303113210
54000032111031040
6132032132305352
711551564615040
oct1615575632744
9380148188605
10122104002020
1147869586a70
121b7b8472258
13b68c076990
145ca4955020
153299a5d865
hex1c6df735e4

122104002020 has 192 divisors, whose sum is σ = 344632651776. Its totient is φ = 35095057920.

The previous prime is 122104001977. The next prime is 122104002023. The reversal of 122104002020 is 20200401221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122104001986 and 122104002004.

It is not an unprimeable number, because it can be changed into a prime (122104002023) by changing a digit.

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, 24481967 + ... + 24486953.

It is an arithmetic number, because the mean of its divisors is an integer number (1794961728).

Almost surely, 2122104002020 is an apocalyptic number.

122104002020 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 122104002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172316325888).

122104002020 is an abundant number, since it is smaller than the sum of its proper divisors (222528649756).

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

122104002020 is a wasteful number, since it uses less digits than its factorization.

122104002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122104002020 its reverse (20200401221), we get a palindrome (142304403241).

The spelling of 122104002020 in words is "one hundred twenty-two billion, one hundred four million, two thousand, twenty".