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122001210120020 = 225711415879328667
BaseRepresentation
bin11011101111010110011110…
…110010101001011101010100
3120222222012110002200100111112
4123233112132302221131110
5111442331434242320040
61111250325430554152
734461203501430020
oct3357263662513524
9528865402610445
10122001210120020
1135967471603090
121182479a508958
13530c8845b989a
14221ac66525380
15e187e89bc365
hex6ef59eca9754

122001210120020 has 192 divisors, whose sum is σ = 327268768296960. Its totient is φ = 37092455961600.

The previous prime is 122001210120017. The next prime is 122001210120077. The reversal of 122001210120020 is 20021012100221.

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 = 122001210119977 and 122001210120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371035727 + ... + 371364393.

It is an arithmetic number, because the mean of its divisors is an integer number (1704524834880).

Almost surely, 2122001210120020 is an apocalyptic number.

122001210120020 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 122001210120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163634384148480).

122001210120020 is an abundant number, since it is smaller than the sum of its proper divisors (205267558176940).

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

122001210120020 is a wasteful number, since it uses less digits than its factorization.

122001210120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334614 (or 334612 counting only the distinct ones).

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

Adding to 122001210120020 its reverse (20021012100221), we get a palindrome (142022222220241).

The spelling of 122001210120020 in words is "one hundred twenty-two trillion, one billion, two hundred ten million, one hundred twenty thousand, twenty".