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1211022020200 = 235223394127617
BaseRepresentation
bin10001100111110110100…
…010011000111001101000
311021202212012120202020211
4101213312202120321220
5124320133114121300
62324200312430504
7153331153220506
oct21476642307150
94252765522224
101211022020200
114276563a4aa3
121768549a8434
138a277c52155
14428842cb676
152177c6794ba
hex119f6898e68

1211022020200 has 96 divisors (see below), whose sum is σ = 2830817934360. Its totient is φ = 481799782400.

The previous prime is 1211022020189. The next prime is 1211022020231. The reversal of 1211022020200 is 20202201121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 61576437316 + 1149445582884 = 248146^2 + 1072122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43836792 + ... + 43864408.

Almost surely, 21211022020200 is an apocalyptic number.

1211022020200 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 1211022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415408967180).

1211022020200 is an abundant number, since it is smaller than the sum of its proper divisors (1619795914160).

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

1211022020200 is a wasteful number, since it uses less digits than its factorization.

1211022020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28807 (or 28798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1211022020200 its reverse (20202201121), we get a palindrome (1231224221321).

The spelling of 1211022020200 in words is "one trillion, two hundred eleven billion, twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 941 1165 1864 1882 2330 3764 4660 4705 5825 7528 9320 9410 11650 18820 23300 23525 27617 37640 46600 47050 55234 94100 110468 138085 188200 219253 220936 276170 438506 552340 690425 877012 1096265 1104680 1380850 1754024 2192530 2761700 4385060 5481325 5523400 6434761 8770120 10962650 12869522 21925300 25739044 25987597 32173805 43850600 51478088 51975194 64347610 103950388 128695220 129937985 160869025 207900776 257390440 259875970 321738050 519751940 643476100 649689925 1039503880 1286952200 1299379850 2598759700 5197519400 6055110101 12110220202 24220440404 30275550505 48440880808 60551101010 121102202020 151377752525 242204404040 302755505050 605511010100 1211022020200