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201121211002120 = 2359416257853969
BaseRepresentation
bin101101101110101100101110…
…010101101010110100001000
3222101002222222222221101011021
4231232230232111222310020
5202330132220004031440
61551425450412242224
760235346045506423
oct5556545625526410
9871088888841137
10201121211002120
11590a1032434162
121a68277a770374
13882b8585b8c86
1437944661689ba
15183b956c6b84a
hexb6eb2e56ad08

201121211002120 has 64 divisors (see below), whose sum is σ = 453076550362800. Its totient is φ = 80350054072320.

The previous prime is 201121211002091. The next prime is 201121211002183. The reversal of 201121211002120 is 21200112121102.

It can be written as a sum of positive squares in 8 ways, for example, as 196316583735204 + 4804627266916 = 14011302^2 + 2191946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201121211002094 and 201121211002103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235086496 + ... + 235940464.

Almost surely, 2201121211002120 is an apocalyptic number.

201121211002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121211002120 is an abundant number, since it is smaller than the sum of its proper divisors (251955339360680).

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

201121211002120 is a wasteful number, since it uses less digits than its factorization.

201121211002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861178 (or 861174 counting only the distinct ones).

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

Adding to 201121211002120 its reverse (21200112121102), we get a palindrome (222321323123222).

The spelling of 201121211002120 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 941 1882 3764 4705 6257 7528 9410 12514 18820 25028 31285 37640 50056 62570 125140 250280 853969 1707938 3415876 4269845 5887837 6831752 8539690 11775674 17079380 23551348 29439185 34158760 47102696 58878370 117756740 235513480 803584829 1607169658 3214339316 4017924145 5343284033 6428678632 8035848290 10686568066 16071696580 21373136132 26716420165 32143393160 42746272264 53432840330 106865680660 213731361320 5028030275053 10056060550106 20112121100212 25140151375265 40224242200424 50280302750530 100560605501060 201121211002120