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122412010100 = 225210112120001
BaseRepresentation
bin111001000000001010…
…0110000101001110100
3102200222002210102022212
41302000110300221310
54001144433310400
6132122454112552
711562324626552
oct1620024605164
9380862712285
10122412010100
1147a0742aaa6
121b88364b758
13b70ab19793
145cd3810bd2
1532b6b00335
hex1c80530a74

122412010100 has 36 divisors (see below), whose sum is σ = 268264124268. Its totient is φ = 48480000000.

The previous prime is 122412010037. The next prime is 122412010111. The reversal of 122412010100 is 1010214221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15484318096 + 106927692004 = 124436^2 + 326998^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6049901 + ... + 6070100.

Almost surely, 2122412010100 is an apocalyptic number.

122412010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122412010100 is an abundant number, since it is smaller than the sum of its proper divisors (145852114168).

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

122412010100 is a wasteful number, since it uses less digits than its factorization.

122412010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120116 (or 12120109 counting only the distinct ones).

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

Adding to 122412010100 its reverse (1010214221), we get a palindrome (123422224321).

The spelling of 122412010100 in words is "one hundred twenty-two billion, four hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 12120001 24240002 48480004 60600005 121200010 242400020 303000025 606000050 1212000100 1224120101 2448240202 4896480404 6120600505 12241201010 24482402020 30603002525 61206005050 122412010100