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122022102112020 = 2233511107227191579
BaseRepresentation
bin11011101111101001111100…
…000011010001011100010100
3121000001012101002122111202000
4123233221330003101130110
5111443202231120041040
61111304102502515300
734462543304430465
oct3357517403213424
9530035332574660
10122022102112020
1135975312594980
121182884b135b30
135311833a15c26
14221bc89080d6c
15e1911cbd2130
hex6efa7c0d1714

122022102112020 has 192 divisors, whose sum is σ = 414141643238400. Its totient is φ = 29580685384320.

The previous prime is 122022102111929. The next prime is 122022102112039. The reversal of 122022102112020 is 20211201220221.

It is a happy number.

122022102112020 is a `hidden beast` number, since 1 + 2 + 202 + 210 + 211 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122022102111984 and 122022102112002.

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, 636832591 + ... + 637024169.

It is an arithmetic number, because the mean of its divisors is an integer number (2156987725200).

Almost surely, 2122022102112020 is an apocalyptic number.

122022102112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022102112020 is an abundant number, since it is smaller than the sum of its proper divisors (292119541126380).

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

122022102112020 is a wasteful number, since it uses less digits than its factorization.

122022102112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298835 (or 298827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122022102112020 its reverse (20211201220221), we get a palindrome (142233303332241).

The spelling of 122022102112020 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred two million, one hundred twelve thousand, twenty".