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12202012211000 = 23531915728114557
BaseRepresentation
bin1011000110010000000010…
…0110100111011100111000
31121012111112012200200212012
42301210000212213130320
53044404210111223000
641541305500505052
72366365144326623
oct261440046473470
947174465620765
1012202012211000
1139849318729a7
1214509b924b188
136a684c870151
1430281b016dba
15162607d6a735
hexb19009a7738

12202012211000 has 256 divisors, whose sum is σ = 30356644406400. Its totient is φ = 4577803776000.

The previous prime is 12202012210951. The next prime is 12202012211003. The reversal of 12202012211000 is 11221020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202012211003) 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 63 ways as a sum of consecutive naturals, for example, 838215722 + ... + 838230278.

Almost surely, 212202012211000 is an apocalyptic number.

12202012211000 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 12202012211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178322203200).

12202012211000 is an abundant number, since it is smaller than the sum of its proper divisors (18154632195400).

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

12202012211000 is a wasteful number, since it uses less digits than its factorization.

12202012211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202012211000 its reverse (11221020221), we get a palindrome (12213233231221).

The spelling of 12202012211000 in words is "twelve trillion, two hundred two billion, twelve million, two hundred eleven thousand".