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12021310310420 = 2253796973167521
BaseRepresentation
bin1010111011101110110111…
…1011100100100000010100
31120120020002210012001000202
42232323231323210200110
53033424120414413140
641322302544000032
72350340163451265
oct256735573444024
946506083161022
1012021310310420
1139152333034a4
121421988600018
136927b26a2418
142d7b97d0a96c
1515ca7dc16915
hexaeeedee4814

12021310310420 has 48 divisors (see below), whose sum is σ = 25927464371088. Its totient is φ = 4678487838720.

The previous prime is 12021310310363. The next prime is 12021310310441. The reversal of 12021310310420 is 2401301312021.

It can be written as a sum of positive squares in 8 ways, for example, as 369000362116 + 11652309948304 = 607454^2 + 3413548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12021310310392 and 12021310310401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71676260 + ... + 71843780.

It is an arithmetic number, because the mean of its divisors is an integer number (540155507731).

Almost surely, 212021310310420 is an apocalyptic number.

12021310310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021310310420 is an abundant number, since it is smaller than the sum of its proper divisors (13906154060668).

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

12021310310420 is a wasteful number, since it uses less digits than its factorization.

12021310310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264540 (or 264538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12021310310420 its reverse (2401301312021), we get a palindrome (14422611622441).

The spelling of 12021310310420 in words is "twelve trillion, twenty-one billion, three hundred ten million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 96973 167521 193946 335042 387892 484865 670084 837605 969730 1675210 1939460 3350420 3588001 6198277 7176002 12396554 14352004 17940005 24793108 30991385 35880010 61982770 71760020 123965540 16245013933 32490027866 64980055732 81225069665 162450139330 324900278660 601065515521 1202131031042 2404262062084 3005327577605 6010655155210 12021310310420