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20001012120 = 23325293189619
BaseRepresentation
bin10010101000001001…
…110011100110011000
31220121220102200121200
4102220021303212120
5311430224341440
613104403034200
71305433540455
oct225011634630
956556380550
1020001012120
118534060491
123a6236b960
131b6997051b
14d7a4aa82c
157c0dbac30
hex4a8273998

20001012120 has 96 divisors (see below), whose sum is σ = 65225487600. Its totient is φ = 5315371776.

The previous prime is 20001012113. The next prime is 20001012133. The reversal of 20001012120 is 2121010002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10671 + ... + 200289.

Almost surely, 220001012120 is an apocalyptic number.

20001012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32612743800).

20001012120 is an abundant number, since it is smaller than the sum of its proper divisors (45224475480).

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

20001012120 is a wasteful number, since it uses less digits than its factorization.

20001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189929 (or 189922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001012120 its reverse (2121010002), we get a palindrome (22122022122).

The spelling of 20001012120 in words is "twenty billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5274 5860 7032 8790 10548 11720 13185 17580 21096 26370 35160 52740 105480 189619 379238 568857 758476 948095 1137714 1516952 1706571 1896190 2275428 2844285 3413142 3792380 4550856 5688570 6826284 7584760 8532855 11377140 13652568 17065710 22754280 34131420 55558367 68262840 111116734 166675101 222233468 277791835 333350202 444466936 500025303 555583670 666700404 833375505 1000050606 1111167340 1333400808 1666751010 2000101212 2222334680 2500126515 3333502020 4000202424 5000253030 6667004040 10000506060 20001012120