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12420402201420 = 223510312253164023
BaseRepresentation
bin1011010010111101100110…
…1010010100001101001100
31121222101020011222200122220
42310233121222110031030
53111443440430421140
642225504244135340
72421226100531223
oct264573152241514
947871204880586
1012420402201420
113a59510275094
1214871a7697550
136c1314b38155
1430d217641cba
1516813aa30bd0
hexb4bd9a9434c

12420402201420 has 96 divisors (see below), whose sum is σ = 35117848077312. Its totient is φ = 3279663191808.

The previous prime is 12420402201331. The next prime is 12420402201463. The reversal of 12420402201420 is 2410220402421.

It is a happy number.

12420402201420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75641529 + ... + 75805551.

It is an arithmetic number, because the mean of its divisors is an integer number (365810917472).

Almost surely, 212420402201420 is an apocalyptic number.

12420402201420 is a gapful number since it is divisible by the number (10) 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 12420402201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558924038656).

12420402201420 is an abundant number, since it is smaller than the sum of its proper divisors (22697445875892).

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

12420402201420 is a wasteful number, since it uses less digits than its factorization.

12420402201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176391 (or 176389 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12420402201420 its reverse (2410220402421), we get a palindrome (14830622603841).

The spelling of 12420402201420 in words is "twelve trillion, four hundred twenty billion, four hundred two million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 12253 24506 36759 49012 61265 73518 122530 147036 164023 183795 245060 328046 367590 492069 656092 735180 820115 984138 1262059 1640230 1968276 2460345 2524118 3280460 3786177 4920690 5048236 6310295 7572354 9841380 12620590 15144708 16894369 18930885 25241180 33788738 37861770 50683107 67577476 75723540 84471845 101366214 168943690 202732428 253415535 337887380 506831070 1013662140 2009773819 4019547638 6029321457 8039095276 10048869095 12058642914 20097738190 24117285828 30146607285 40195476380 60293214570 120586429140 207006703357 414013406714 621020110071 828026813428 1035033516785 1242040220142 2070067033570 2484080440284 3105100550355 4140134067140 6210201100710 12420402201420