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2120220122121 = 321761722459721
BaseRepresentation
bin11110110110100110111…
…101111001110000001001
321111200122210012211020200
4132312212331321300021
5234214202322401441
64302003215242413
7306116013452643
oct36664675716011
97450583184220
102120220122121
117481a8a91a12
122a2ab5519409
13124c2222c8ca
1474895135893
153a2424647b6
hex1eda6f79c09

2120220122121 has 24 divisors (see below), whose sum is σ = 3247945317864. Its totient is φ = 1328178001920.

The previous prime is 2120220122113. The next prime is 2120220122131. The reversal of 2120220122121 is 1212210220212.

It is a happy number.

2120220122121 is a `hidden beast` number, since 21 + 202 + 201 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 710750163600 + 1409469958521 = 843060^2 + 1187211^2 .

It is not a de Polignac number, because 2120220122121 - 23 = 2120220122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120220122094 and 2120220122103.

It is not an unprimeable number, because it can be changed into a prime (2120220122131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11135460 + ... + 11324261.

It is an arithmetic number, because the mean of its divisors is an integer number (135331054911).

Almost surely, 22120220122121 is an apocalyptic number.

It is an amenable number.

2120220122121 is a deficient number, since it is larger than the sum of its proper divisors (1127725195743).

2120220122121 is a wasteful number, since it uses less digits than its factorization.

2120220122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22460361 (or 22460358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120220122121 its reverse (1212210220212), we get a palindrome (3332430342333).

The spelling of 2120220122121 in words is "two trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 617 1851 5553 10489 31467 94401 22459721 67379163 202137489 381815257 1145445771 3436337313 13857647857 41572943571 124718830713 235580013569 706740040707 2120220122121