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122102120020 = 22555710960693
BaseRepresentation
bin111000110110111011…
…0100111111001010100
3102200011111200101001111
41301231312213321110
54000031120320040
6132032024104404
711551542616126
oct1615566477124
9380144611044
10122102120020
1147868510aa1
121b7b7905104
13b68b86817a
145ca45c5216
1532997dadea
hex1c6dda7e54

122102120020 has 24 divisors (see below), whose sum is σ = 256874824584. Its totient is φ = 48753158016.

The previous prime is 122102120017. The next prime is 122102120029. The reversal of 122102120020 is 20021201221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2028781764 + 120073338256 = 45042^2 + 346516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102120029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5469207 + ... + 5491486.

It is an arithmetic number, because the mean of its divisors is an integer number (10703117691).

Almost surely, 2122102120020 is an apocalyptic number.

122102120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102120020 is an abundant number, since it is smaller than the sum of its proper divisors (134772704564).

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

122102120020 is a wasteful number, since it uses less digits than its factorization.

122102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961259 (or 10961257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122102120020 its reverse (20021201221), we get a palindrome (142123321241).

The spelling of 122102120020 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 557 1114 2228 2785 5570 11140 10960693 21921386 43842772 54803465 109606930 219213860 6105106001 12210212002 24420424004 30525530005 61051060010 122102120020