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121001012120121 = 3750371915932093
BaseRepresentation
bin11011100000110010111110…
…010110000100101000111001
3120212102120202120200111012220
4123200302332112010220321
5111324440033100320441
61105203033024354253
734326014610623550
oct3340627626045071
9525376676614186
10121001012120121
1135611271940a11
12116a2982175989
1352694672b7253
1421c46a1a9ad97
15dec7a9b94466
hex6e0cbe584a39

121001012120121 has 32 divisors (see below), whose sum is σ = 185006024663040. Its totient is φ = 68909994145344.

The previous prime is 121001012120099. The next prime is 121001012120137. The reversal of 121001012120121 is 121021210100121.

It is a happy number.

It is not a de Polignac number, because 121001012120121 - 214 = 121001012103737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121001012120121.

It is not an unprimeable number, because it can be changed into a prime (121001012120621) by changing a digit.

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, 371250 + ... + 15560843.

It is an arithmetic number, because the mean of its divisors is an integer number (5781438270720).

Almost surely, 2121001012120121 is an apocalyptic number.

It is an amenable number.

121001012120121 is a deficient number, since it is larger than the sum of its proper divisors (64005012542919).

121001012120121 is a wasteful number, since it uses less digits than its factorization.

121001012120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933325.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121001012120121 its reverse (121021210100121), we get a palindrome (242022222220242).

The spelling of 121001012120121 in words is "one hundred twenty-one trillion, one billion, twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 21 503 719 1509 2157 3521 5033 10563 15099 361657 1084971 2531599 7594797 15932093 47796279 111524651 334573953 8013842779 11455174867 24041528337 34365524601 56096899453 80186224069 168290698359 240558672207 5761952958101 17285858874303 40333670706707 121001012120121