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200011211221120 = 27513312573017423
BaseRepresentation
bin101101011110100010111101…
…001100100010100010000000
3222020011212220012112002201021
4231132202331030202202000
5202203440430033033440
61545215514300515224
760062222161161415
oct5536427514424200
9866155805462637
10200011211221120
11588033074a8752
121a523619b4bb14
13877ac8cb9c130
14375684699810c
15181cb3d45284a
hexb5e8bd322880

200011211221120 has 256 divisors, whose sum is σ = 533611881492480. Its totient is φ = 71189916549120.

The previous prime is 200011211220983. The next prime is 200011211221121. The reversal of 200011211221120 is 21122112110002.

It is a super-2 number, since 2×2000112112211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200011211221094 and 200011211221103.

It is not an unprimeable number, because it can be changed into a prime (200011211221121) 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, 64776729 + ... + 67794151.

It is an arithmetic number, because the mean of its divisors is an integer number (2084421412080).

Almost surely, 2200011211221120 is an apocalyptic number.

200011211221120 is a gapful number since it is divisible by the number (20) 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 200011211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266805940746240).

200011211221120 is an abundant number, since it is smaller than the sum of its proper divisors (333600670271360).

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

200011211221120 is a wasteful number, since it uses less digits than its factorization.

200011211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017743 (or 3017731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 200011211221120 its reverse (21122112110002), we get a palindrome (221133323331122).

The spelling of 200011211221120 in words is "two hundred trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".