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122010221100020 = 2251123414951118787
BaseRepresentation
bin11011101111011110110111…
…111000110011101111110100
3121000000001201002102120020112
4123233132313320303233310
5111443003413100200040
61111254415523322152
734461643006461521
oct3357366770635764
9530001632376215
10122010221100020
11359702760137a0
1211826494220358
13531068c412806
14221b47d198148
15e18b74b17365
hex6ef7b7e33bf4

122010221100020 has 192 divisors, whose sum is σ = 298843817029632. Its totient is φ = 41394545280000.

The previous prime is 122010221099981. The next prime is 122010221100059. The reversal of 122010221100020 is 20001122010221.

It is an interprime number because it is at equal distance from previous prime (122010221099981) and next prime (122010221100059).

It is a junction number, because it is equal to n+sod(n) for n = 122010221099968 and 122010221100004.

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, 1027075067 + ... + 1027193853.

It is an arithmetic number, because the mean of its divisors is an integer number (1556478213696).

Almost surely, 2122010221100020 is an apocalyptic number.

122010221100020 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 122010221100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149421908514816).

122010221100020 is an abundant number, since it is smaller than the sum of its proper divisors (176833595929612).

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

122010221100020 is a wasteful number, since it uses less digits than its factorization.

122010221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123822 (or 123820 counting only the distinct ones).

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

Adding to 122010221100020 its reverse (20001122010221), we get a palindrome (142011343110241).

The spelling of 122010221100020 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-one million, one hundred thousand, twenty".