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12202104000420 = 22325101366919513
BaseRepresentation
bin1011000110010000011000…
…0100110000111110100100
31121012111202121102002021100
42301210012010300332210
53044404402111003140
641541322540120100
72366400340454355
oct261440604607644
947174677362240
1012202104000420
113984979666724
121450a23b36030
136a686589a709
143028292abd2c
15162610e4c530
hexb1906130fa4

12202104000420 has 72 divisors (see below), whose sum is σ = 37049587409016. Its totient is φ = 3250682214912.

The previous prime is 12202104000407. The next prime is 12202104000421. The reversal of 12202104000420 is 2400040120221.

12202104000420 is a `hidden beast` number, since 1 + 2 + 202 + 1 + 0 + 40 + 0 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94877552484 + 12107226447936 = 308022^2 + 3479544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12202104000393 and 12202104000402.

It is not an unprimeable number, because it can be changed into a prime (12202104000421) 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, 33277417 + ... + 33642096.

It is an arithmetic number, because the mean of its divisors is an integer number (514577602903).

Almost surely, 212202104000420 is an apocalyptic number.

12202104000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202104000420 is an abundant number, since it is smaller than the sum of its proper divisors (24847483408596).

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

12202104000420 is a wasteful number, since it uses less digits than its factorization.

12202104000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66920541 (or 66920536 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12202104000420 its reverse (2400040120221), we get a palindrome (14602144120641).

The spelling of 12202104000420 in words is "twelve trillion, two hundred two billion, one hundred four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1013 2026 3039 4052 5065 6078 9117 10130 12156 15195 18234 20260 30390 36468 45585 60780 91170 182340 66919513 133839026 200758539 267678052 334597565 401517078 602275617 669195130 803034156 1003792695 1204551234 1338390260 2007585390 2409102468 3011378085 4015170780 6022756170 12045512340 67789466669 135578933338 203368400007 271157866676 338947333345 406736800014 610105200021 677894666690 813473600028 1016842000035 1220210400042 1355789333380 2033684000070 2440420800084 3050526000105 4067368000140 6101052000210 12202104000420