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120100101012 = 223219374745539
BaseRepresentation
bin110111111011010000…
…1100001101110010100
3102110222222112021021100
41233312201201232110
53431431111213022
6131101225550100
711451123005043
oct1576641415624
9373888467240
10120100101012
1146a30415531
121b339345330
13b42cb64b38
145b5476255a
1531cdb7a1ac
hex1bf6861b94

120100101012 has 72 divisors (see below), whose sum is σ = 328201546400. Its totient is φ = 36901303488.

The previous prime is 120100100971. The next prime is 120100101019. The reversal of 120100101012 is 210101001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100100985 and 120100101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100101019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347462 + ... + 2398077.

Almost surely, 2120100101012 is an apocalyptic number.

120100101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100101012 is an abundant number, since it is smaller than the sum of its proper divisors (208101445388).

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

120100101012 is a wasteful number, since it uses less digits than its factorization.

120100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745605 (or 4745600 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100101012 its reverse (210101001021), we get a palindrome (330201102033).

Subtracting 120100101012 from its reverse (210101001021), we obtain a palindrome (90000900009).

The spelling of 120100101012 in words is "one hundred twenty billion, one hundred million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 25308 4745539 9491078 14236617 18982156 28473234 42709851 56946468 85419702 90165241 170839404 175584943 180330482 270495723 351169886 360660964 526754829 540991446 702339772 811487169 1053509658 1081982892 1580264487 1622974338 2107019316 3160528974 3245948676 3336113917 6321057948 6672227834 10008341751 13344455668 20016683502 30025025253 40033367004 60050050506 120100101012