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21000120121002 = 23112942892558137
BaseRepresentation
bin1001100011001011110001…
…01100110011011010101010
32202100120222110220201011210
410301211320230303122222
510223031221222333002
6112355153315133550
74265131360544631
oct461457054633252
982316873821153
1021000120121002
116767112377690
122431b698a42b6
13b943c2419599
145285a8612518
152663dbe2896c
hex131978b336aa

21000120121002 has 64 divisors (see below), whose sum is σ = 47409459926400. Its totient is φ = 6142800814080.

The previous prime is 21000120120887. The next prime is 21000120121039. The reversal of 21000120121002 is 20012102100012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6930078 + ... + 9488214.

It is an arithmetic number, because the mean of its divisors is an integer number (740772811350).

Almost surely, 221000120121002 is an apocalyptic number.

21000120121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000120121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23704729963200).

21000120121002 is an abundant number, since it is smaller than the sum of its proper divisors (26409339805398).

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

21000120121002 is a wasteful number, since it uses less digits than its factorization.

21000120121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562471.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000120121002 its reverse (20012102100012), we get a palindrome (41012222221014).

The spelling of 21000120121002 in words is "twenty-one trillion, one hundred twenty million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 4289 8578 12867 25734 47179 94358 124381 141537 248762 283074 373143 746286 1368191 2558137 2736382 4104573 5116274 7674411 8209146 15348822 28139507 56279014 74185973 84418521 148371946 168837042 222557919 445115838 816045703 1632091406 2448137109 4896274218 10971849593 21943699186 32915548779 65831097558 120690345523 241380691046 318183638197 362071036569 636367276394 724142073138 954550914591 1909101829182 3500020020167 7000040040334 10500060060501 21000120121002