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202122021212001 = 32114276747738597
BaseRepresentation
bin101101111101010000110011…
…010001101000111101100001
3222111122200021011220201122200
4231331100303101220331201
5202443031344412241001
61553513324044323413
760400556052104412
oct5575206321507541
9874580234821580
10202122021212001
11594475167337a0
121a804727b43569
1388a20426a0937
1437caa88037809
1518579ce6c5086
hexb7d433468f61

202122021212001 has 24 divisors (see below), whose sum is σ = 318502760045184. Its totient is φ = 122495327792160.

The previous prime is 202122021211949. The next prime is 202122021212021. The reversal of 202122021212001 is 100212120221202.

It is a happy number.

202122021212001 is a `hidden beast` number, since 20 + 212 + 20 + 212 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 202122021212001 - 29 = 202122021211489 is a prime.

It is a super-2 number, since 2×2021220212120012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202122021212021) 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, 19635366 + ... + 28103231.

It is an arithmetic number, because the mean of its divisors is an integer number (13270948335216).

Almost surely, 2202122021212001 is an apocalyptic number.

It is an amenable number.

202122021212001 is a deficient number, since it is larger than the sum of its proper divisors (116380738833183).

202122021212001 is a wasteful number, since it uses less digits than its factorization.

202122021212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47781381 (or 47781378 counting only the distinct ones).

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

Adding to 202122021212001 its reverse (100212120221202), we get a palindrome (302334141433203).

The spelling of 202122021212001 in words is "two hundred two trillion, one hundred twenty-two billion, twenty-one million, two hundred twelve thousand, one".

Divisors: 1 3 9 11 33 99 42767 128301 384903 470437 1411311 4233933 47738597 143215791 429647373 525124567 1575373701 4726121103 2041636577899 6124909733697 18374729201091 22458002356889 67374007070667 202122021212001