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1201022120221 = 7111710131728657
BaseRepresentation
bin10001011110100010011…
…111110011000100011101
311020211001022000012022221
4101132202133303010131
5124134143130321341
62315424132105341
7152525306403250
oct21364237630435
94224038005287
101201022120221
11423394749150
12174923a65251
138934329b381
14421b6193097
15213947daed1
hex117a27f311d

1201022120221 has 64 divisors (see below), whose sum is σ = 1606263934464. Its totient is φ = 869308416000.

The previous prime is 1201022120167. The next prime is 1201022120227. The reversal of 1201022120221 is 1220212201021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1201022120221 - 27 = 1201022120093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201022120195 and 1201022120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201022120227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41895925 + ... + 41924581.

It is an arithmetic number, because the mean of its divisors is an integer number (25097873976).

Almost surely, 21201022120221 is an apocalyptic number.

1201022120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201022120221 is a deficient number, since it is larger than the sum of its proper divisors (405241814243).

1201022120221 is a wasteful number, since it uses less digits than its factorization.

1201022120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29110.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1201022120221 its reverse (1220212201021), we get a palindrome (2421234321242).

The spelling of 1201022120221 in words is "one trillion, two hundred one billion, twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 17 77 101 119 187 317 707 1111 1309 1717 2219 3487 5389 7777 12019 18887 24409 28657 32017 37723 59279 132209 200599 224119 315227 352187 414953 487169 544289 2206589 2465309 2894357 3410183 3810023 5358859 5987179 9084269 20260499 31837927 37512013 41910253 49204069 63589883 99926959 154432573 222865489 344428483 541244759 699488713 917511169 1081028011 1698758303 3788713313 6422578183 10092622859 11891308121 15597689873 70648360013 109183829111 171574588603 1201022120221