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20020122002000 = 245327073697843
BaseRepresentation
bin1001000110101010011000…
…10000101010001001010000
32121212220102201120010012002
410203111030100222021100
510111002202213031000
6110325041142253132
74134256200145511
oct443251420521120
977786381503162
1020020122002000
116419538a45a5a
1222b404a4271a8
13b22b740368b3
144d2d9c820a08
1524ab816a08d5
hex12354c42a250

20020122002000 has 80 divisors (see below), whose sum is σ = 48426550865472. Its totient is φ = 8005088361600.

The previous prime is 20020122001969. The next prime is 20020122002003. The reversal of 20020122002000 is 20022102002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020122002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3565079 + ... + 7262921.

Almost surely, 220020122002000 is an apocalyptic number.

20020122002000 is a gapful number since it is divisible by the number (20) 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 20020122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213275432736).

20020122002000 is an abundant number, since it is smaller than the sum of its proper divisors (28406428863472).

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

20020122002000 is a wasteful number, since it uses less digits than its factorization.

20020122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700573 (or 3700557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20020122002000 its reverse (20022102002), we get a palindrome (20040144104002).

The spelling of 20020122002000 in words is "twenty trillion, twenty billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2707 5414 10828 13535 21656 27070 43312 54140 67675 108280 135350 216560 270700 338375 541400 676750 1082800 1353500 2707000 3697843 5414000 7395686 14791372 18489215 29582744 36978430 59165488 73956860 92446075 147913720 184892150 295827440 369784300 462230375 739568600 924460750 1479137200 1848921500 3697843000 7395686000 10010061001 20020122002 40040244004 50050305005 80080488008 100100610010 160160976016 200201220020 250251525025 400402440040 500503050050 800804880080 1001006100100 1251257625125 2002012200200 2502515250250 4004024400400 5005030500500 10010061001000 20020122002000