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121121121 = 3112333667
BaseRepresentation
bin1110011100000…
…10100101100001
322102220120221110
413032002211201
5222001333441
620004013533
73000340542
oct716024541
9272816843
10121121121
1162408100
12346912a9
131c12a304
141212c4c9
15a977b16
hex7382961

121121121 has 12 divisors (see below), whose sum is σ = 177511376. Its totient is φ = 73406520.

The previous prime is 121121113. The next prime is 121121129.

121121121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (121121113) and next prime (121121129).

It is not a de Polignac number, because 121121121 - 23 = 121121113 is a prime.

It is a Duffinian number.

121121121 is a modest number, since divided by 121121 gives 121 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121121097 and 121121106.

It is not an unprimeable number, because it can be changed into a prime (121121129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166471 + ... + 167196.

Almost surely, 2121121121 is an apocalyptic number.

121121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121121 is a deficient number, since it is larger than the sum of its proper divisors (56390255).

121121121 is a wasteful number, since it uses less digits than its factorization.

121121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333692 (or 333681 counting only the distinct ones).

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

The square root of 121121121 is about 11005.5041229378. The cubic root of 121121121 is about 494.7737237400.

It can be divided in two parts, 121121 and 121, that multiplied together give a palindrome (14655641).

The spelling of 121121121 in words is "one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 363 333667 1001001 3670337 11011011 40373707 121121121