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12202121202000 = 243537134982073
BaseRepresentation
bin1011000110010000011100…
…0110011000100101010000
31121012111210210210000101220
42301210013012120211100
53044404421011431000
641541324352525040
72366400636616632
oct261440706304520
947174723700356
1012202121202000
113984988345504
121450a29850780
136a6869311172
1430282b6a8a52
151626126e91a0
hexb1907198950

12202121202000 has 320 divisors, whose sum is σ = 40008514291200. Its totient is φ = 3198838272000.

The previous prime is 12202121201999. The next prime is 12202121202013. The reversal of 12202121202000 is 20212120221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148632964 + ... + 148715036.

It is an arithmetic number, because the mean of its divisors is an integer number (125026607160).

Almost surely, 212202121202000 is an apocalyptic number.

12202121202000 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 12202121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004257145600).

12202121202000 is an abundant number, since it is smaller than the sum of its proper divisors (27806393089200).

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

12202121202000 is a wasteful number, since it uses less digits than its factorization.

12202121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82519 (or 82503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202121202000 its reverse (20212120221), we get a palindrome (12222333322221).

The spelling of 12202121202000 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand".