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12200385679680 = 2635115581207013
BaseRepresentation
bin1011000110001001111110…
…1001111001000101000000
31121012100022212002100100110
42301202133221321011000
53044342342213222210
641540440234351320
72366306634126042
oct261423751710500
947170285070313
1012200385679680
11398417771a940
12145062458b540
136a66508a8193
14302704db7a92
1516256017a420
hexb189fa79140

12200385679680 has 224 divisors, whose sum is σ = 42265475365248. Its totient is φ = 2957125017600.

The previous prime is 12200385679679. The next prime is 12200385679681. The reversal of 12200385679680 is 8697658300221.

It is an interprime number because it is at equal distance from previous prime (12200385679679) and next prime (12200385679681).

It is a self number, because there is not a number n which added to its sum of digits gives 12200385679680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200385679681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58831854 + ... + 59038866.

Almost surely, 212200385679680 is an apocalyptic number.

12200385679680 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 12200385679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132737682624).

12200385679680 is an abundant number, since it is smaller than the sum of its proper divisors (30065089685568).

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

12200385679680 is a wasteful number, since it uses less digits than its factorization.

12200385679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212625 (or 212615 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 12200385679680 in words is "twelve trillion, two hundred billion, three hundred eighty-five million, six hundred seventy-nine thousand, six hundred eighty".