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12200002874640 = 2434571720637669
BaseRepresentation
bin1011000110001000100011…
…0101100110110100010000
31121012022100011202211120000
42301202020311212310100
53044341101213442030
641540334241450000
72366264305261260
oct261421065466420
947168304684500
1012200002874640
113983aa0629839
121450538340900
136a65bc4a7319
143026aa20b7a0
1516253b761860
hexb1888d66d10

12200002874640 has 800 divisors, whose sum is σ = 51305729080320. Its totient is φ = 2622924177408.

The previous prime is 12200002874621. The next prime is 12200002874713. The reversal of 12200002874640 is 4647820000221.

12200002874640 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 0 + 0 + 2 + 8 + 7 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12200002874595 and 12200002874604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1590816726 + ... + 1590824394.

Almost surely, 212200002874640 is an apocalyptic number.

12200002874640 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 12200002874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652864540160).

12200002874640 is an abundant number, since it is smaller than the sum of its proper divisors (39105726205680).

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

12200002874640 is a wasteful number, since it uses less digits than its factorization.

12200002874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 12200002874640 its reverse (4647820000221), we get a palindrome (16847822874861).

The spelling of 12200002874640 in words is "twelve trillion, two hundred billion, two million, eight hundred seventy-four thousand, six hundred forty".