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12200000001000 = 2335371315637877
BaseRepresentation
bin1011000110001000100010…
…1010101001001111101000
31121012022022222100211122220
42301202020222221033220
53044341100000013000
641540334100114040
72366264241662310
oct261421052511750
947168288324586
1012200000001000
113983a99a46829
121450537395920
136a65bba0c346
143026a9aa0440
1516253b3951a0
hexb1888aa93e8

12200000001000 has 512 divisors, whose sum is σ = 43917220638720. Its totient is φ = 2762018688000.

The previous prime is 12200000000957. The next prime is 12200000001001. The reversal of 12200000001000 is 10000000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12200000001000.

It is not an unprimeable number, because it can be changed into a prime (12200000001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1548809062 + ... + 1548816938.

It is an arithmetic number, because the mean of its divisors is an integer number (85775821560).

Almost surely, 212200000001000 is an apocalyptic number.

12200000001000 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 12200000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958610319360).

12200000001000 is an abundant number, since it is smaller than the sum of its proper divisors (31717220637720).

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

12200000001000 is a wasteful number, since it uses less digits than its factorization.

12200000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12200000001000 its reverse (10000000221), we get a palindrome (12210000001221).

The spelling of 12200000001000 in words is "twelve trillion, two hundred billion, one thousand".