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122022100020 = 22354583443749
BaseRepresentation
bin111000110100100010…
…1010111110000110100
3102122221221002221020210
41301221011113300310
53444400124200040
6132020045025420
711546551510512
oct1615105276064
9378857087223
10122022100020
1147827326867
121b794b55270
13b6780cb962
145c97b154b2
153292781480
hex1c69157c34

122022100020 has 48 divisors (see below), whose sum is σ = 341737200000. Its totient is φ = 32532053376.

The previous prime is 122022100007. The next prime is 122022100027. The reversal of 122022100020 is 20001220221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122022099969 and 122022100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022100027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53106 + ... + 496854.

It is an arithmetic number, because the mean of its divisors is an integer number (7119525000).

Almost surely, 2122022100020 is an apocalyptic number.

122022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022100020 is an abundant number, since it is smaller than the sum of its proper divisors (219715099980).

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

122022100020 is a wasteful number, since it uses less digits than its factorization.

122022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448344 (or 448342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122022100020 its reverse (20001220221), we get a palindrome (142023320241).

The spelling of 122022100020 in words is "one hundred twenty-two billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4583 9166 13749 18332 22915 27498 45830 54996 68745 91660 137490 274980 443749 887498 1331247 1774996 2218745 2662494 4437490 5324988 6656235 8874980 13312470 26624940 2033701667 4067403334 6101105001 8134806668 10168508335 12202210002 20337016670 24404420004 30505525005 40674033340 61011050010 122022100020