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122121022010 = 25131723250493
BaseRepresentation
bin111000110111011111…
…0101110101000111010
3102200012211020200201012
41301232332232220322
54000100440201020
6132033541153522
711552162363021
oct1615676565072
9380184220635
10122121022010
1147878151379
121b8020bb8a2
13b692755890
145ca6d058b8
15329b2c17c5
hex1c6efaea3a

122121022010 has 48 divisors (see below), whose sum is σ = 251471217816. Its totient is φ = 42438423552.

The previous prime is 122121021991. The next prime is 122121022013. The reversal of 122121022010 is 10220121221.

It can be written as a sum of positive squares in 12 ways, for example, as 55615317241 + 66505704769 = 235829^2 + 257887^2 .

It is not an unprimeable number, because it can be changed into a prime (122121022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587677 + ... + 1662816.

Almost surely, 2122121022010 is an apocalyptic number.

122121022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121022010 is an abundant number, since it is smaller than the sum of its proper divisors (129350195806).

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

122121022010 is a wasteful number, since it uses less digits than its factorization.

122121022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250547 (or 3250530 counting only the distinct ones).

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

Adding to 122121022010 its reverse (10220121221), we get a palindrome (132341143231).

The spelling of 122121022010 in words is "one hundred twenty-two billion, one hundred twenty-one million, twenty-two thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 289 442 578 1105 1445 2210 2890 3757 7514 18785 37570 3250493 6500986 16252465 32504930 42256409 55258381 84512818 110516762 211282045 276291905 422564090 552583810 718358953 939392477 1436717906 1878784954 3591794765 4696962385 7183589530 9393924770 12212102201 24424204402 61060511005 122121022010