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122300312020 = 2257383767337
BaseRepresentation
bin111000111100110101…
…0101010100111010100
3102200200022121120100221
41301321222222213110
54000432334441040
6132103424044124
711556500333305
oct1617152524724
9380608546327
10122300312020
114795a379637
121b852163644
13b6c093b543
145cc2a567ac
1532abdd974a
hex1c79aaa9d4

122300312020 has 24 divisors (see below), whose sum is σ = 260348886504. Its totient is φ = 48249985536.

The previous prime is 122300312011. The next prime is 122300312027. The reversal of 122300312020 is 20213003221.

It can be written as a sum of positive squares in 4 ways, for example, as 50053323076 + 72246988944 = 223726^2 + 268788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122300311985 and 122300312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300312027) 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, 41882209 + ... + 41885128.

It is an arithmetic number, because the mean of its divisors is an integer number (10847870271).

Almost surely, 2122300312020 is an apocalyptic number.

122300312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122300312020 is an abundant number, since it is smaller than the sum of its proper divisors (138048574484).

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

122300312020 is a wasteful number, since it uses less digits than its factorization.

122300312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83767419 (or 83767417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122300312020 its reverse (20213003221), we get a palindrome (142513315241).

The spelling of 122300312020 in words is "one hundred twenty-two billion, three hundred million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 83767337 167534674 335069348 418836685 837673370 1675346740 6115015601 12230031202 24460062404 30575078005 61150156010 122300312020