Search a number
-
+
1211121221001 = 33755691959239
BaseRepresentation
bin10001100111111100011…
…100110011110110001001
311021210010010020200011120
4101213330130303312021
5124320334013033001
62324214214545453
7153333466343616
oct21477434636611
94253103220146
101211121221001
114276a73a002a
12176882068289
138a292675c53
144289355150d
1521786222236
hex119fc733d89

1211121221001 has 16 divisors (see below), whose sum is σ = 1658770953600. Its totient is φ = 785450677248.

The previous prime is 1211121220997. The next prime is 1211121221003. The reversal of 1211121221001 is 1001221211121.

It is a happy number.

It is not a de Polignac number, because 1211121221001 - 22 = 1211121220997 is a prime.

It is a super-2 number, since 2×12111212210012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211121221003) 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 15 ways as a sum of consecutive naturals, for example, 361461 + ... + 1597778.

It is an arithmetic number, because the mean of its divisors is an integer number (103673184600).

Almost surely, 21211121221001 is an apocalyptic number.

It is an amenable number.

1211121221001 is a deficient number, since it is larger than the sum of its proper divisors (447649732599).

1211121221001 is a wasteful number, since it uses less digits than its factorization.

1211121221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964848.

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

Adding to 1211121221001 its reverse (1001221211121), we get a palindrome (2212342432122).

The spelling of 1211121221001 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one".

Divisors: 1 3 37 111 5569 16707 206053 618159 1959239 5877717 72491843 217475529 10911001991 32733005973 403707073667 1211121221001