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12222142430100 = 2235286993468319
BaseRepresentation
bin1011000111011011000001…
…1101010011101110010100
31121021102111010020210010120
42301312300131103232110
53100221421430230400
641554435201151540
72401010040346221
oct261666035235624
947242433223116
1012222142430100
113992421853509
12145489692b5b0
136a870a20c1b5
143037aa718948
15162dd5259ca0
hexb1db0753b94

12222142430100 has 72 divisors (see below), whose sum is σ = 35363214109440. Its totient is φ = 3259193556480.

The previous prime is 12222142430083. The next prime is 12222142430101. The reversal of 12222142430100 is 103424122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222142430101) 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, 25863741 + ... + 26332059.

It is an arithmetic number, because the mean of its divisors is an integer number (491155751520).

Almost surely, 212222142430100 is an apocalyptic number.

12222142430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222142430100 is an abundant number, since it is smaller than the sum of its proper divisors (23141071679340).

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

12222142430100 is a wasteful number, since it uses less digits than its factorization.

12222142430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555329 (or 555322 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12222142430100 its reverse (103424122221), we get a palindrome (12325566552321).

The spelling of 12222142430100 in words is "twelve trillion, two hundred twenty-two billion, one hundred forty-two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 86993 173986 260979 347972 434965 468319 521958 869930 936638 1043916 1304895 1404957 1739860 1873276 2174825 2341595 2609790 2809914 4349650 4683190 5219580 5619828 6524475 7024785 8699300 9366380 11707975 13048950 14049570 23415950 26097900 28099140 35123925 46831900 70247850 140495700 40740474767 81480949534 122221424301 162961899068 203702373835 244442848602 407404747670 488885697204 611107121505 814809495340 1018511869175 1222214243010 2037023738350 2444428486020 3055535607525 4074047476700 6111071215050 12222142430100