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12235521121100 = 22522511249390289
BaseRepresentation
bin1011001000001100110111…
…1000111101101101001100
31121022201000111121200222122
42302003031320331231030
53100431321401333400
642004530521032112
72401662422345234
oct262031570755514
947281014550878
1012235521121100
11399806776a032
1214573ab325638
136a9a5cba12c4
143042b949ccc4
15163419a61685
hexb20cde3db4c

12235521121100 has 72 divisors (see below), whose sum is σ = 26678272950000. Its totient is φ = 4870794240000.

The previous prime is 12235521121079. The next prime is 12235521121123. The reversal of 12235521121100 is 112112553221.

It is a self number, because there is not a number n which added to its sum of digits gives 12235521121100.

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 23 ways as a sum of consecutive naturals, for example, 31154756 + ... + 31545044.

It is an arithmetic number, because the mean of its divisors is an integer number (370531568750).

Almost surely, 212235521121100 is an apocalyptic number.

12235521121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12235521121100 is an abundant number, since it is smaller than the sum of its proper divisors (14442751828900).

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

12235521121100 is a wasteful number, since it uses less digits than its factorization.

12235521121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391803 (or 391796 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 12235521121100 its reverse (112112553221), we get a palindrome (12347633674321).

The spelling of 12235521121100 in words is "twelve trillion, two hundred thirty-five billion, five hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 1004 1249 1255 2498 2510 4996 5020 6245 6275 12490 12550 24980 25100 31225 62450 124900 313499 390289 626998 780578 1253996 1561156 1567495 1951445 3134990 3902890 6269980 7805780 7837475 9757225 15674950 19514450 31349900 39028900 97962539 195925078 391850156 487470961 489812695 974941922 979625390 1949883844 1959250780 2437354805 2449063475 4874709610 4898126950 9749419220 9796253900 12186774025 24373548050 48747096100 122355211211 244710422422 489420844844 611776056055 1223552112110 2447104224220 3058880280275 6117760560550 12235521121100