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201121222101120 = 27325143934577019
BaseRepresentation
bin101101101110101100101111…
…000000000000100010000000
3222101010000000202211021010100
4231232230233000000202000
5202330132230324213440
61551425451450202400
760235346242034136
oct5556545700004200
9871100022737110
10201121222101120
11590a1038724a92
121a682782423400
13882b85a9a3b29
143794467817756
15183b957c10230
hexb6eb2f000880

201121222101120 has 384 divisors, whose sum is σ = 695279422656000. Its totient is φ = 53571918495744.

The previous prime is 201121222101101. The next prime is 201121222101157. The reversal of 201121222101120 is 21101222121102.

201121222101120 is a `hidden beast` number, since 201 + 1 + 21 + 222 + 101 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201121222101093 and 201121222101102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28653824971 + ... + 28653831989.

It is an arithmetic number, because the mean of its divisors is an integer number (1810623496500).

Almost surely, 2201121222101120 is an apocalyptic number.

201121222101120 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 201121222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347639711328000).

201121222101120 is an abundant number, since it is smaller than the sum of its proper divisors (494158200554880).

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

201121222101120 is a wasteful number, since it uses less digits than its factorization.

201121222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201121222101120 its reverse (21101222121102), we get a palindrome (222222444222222).

The spelling of 201121222101120 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".