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1210000121121 = 311217268772973
BaseRepresentation
bin10001100110111001101…
…000001001110100100001
311021200012222200220020210
4101212321220021310201
5124311040012333441
62323511045524333
7153263634221061
oct21467150116441
94250188626223
101210000121121
11427181584100
1217660a7136a9
138a14431833c
14427c86bd3a1
152171cabe616
hex119b9a09d21

1210000121121 has 48 divisors (see below), whose sum is σ = 1878371776512. Its totient is φ = 689929827840.

The previous prime is 1210000121089. The next prime is 1210000121123. The reversal of 1210000121121 is 1211210000121.

It is not a de Polignac number, because 1210000121121 - 25 = 1210000121089 is a prime.

It is a super-2 number, since 2×12100001211212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210000121097 and 1210000121106.

It is not an unprimeable number, because it can be changed into a prime (1210000121123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16544991 + ... + 16617963.

It is an arithmetic number, because the mean of its divisors is an integer number (39132745344).

Almost surely, 21210000121121 is an apocalyptic number.

1210000121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1210000121121 is a deficient number, since it is larger than the sum of its proper divisors (668371655391).

1210000121121 is a wasteful number, since it uses less digits than its factorization.

1210000121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75702 (or 75691 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1210000121121 its reverse (1211210000121), we get a palindrome (2421210121242).

It can be divided in two parts, 1210000121 and 121, that multiplied together give a palindrome (146410014641).

The spelling of 1210000121121 in words is "one trillion, two hundred ten billion, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 2687 6171 8061 29557 45679 72973 88671 137037 218919 325127 502469 802703 975381 1240541 1507407 2408109 3721623 5527159 8829733 13645951 16581477 26489199 40937853 150105461 196078451 450316383 588235353 2156862961 3333333667 6470588883 10000001001 23725492571 36666670337 71176477713 110000011011 403333373707 1210000121121