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121101211132002 = 2342925777184149
BaseRepresentation
bin11011100010010000010010…
…101010111110000001100010
3120212210011101121210200110000
4123202100102222332001202
5111333110240022211002
61105321043421120430
734336162622312613
oct3342202252760142
9525704347720400
10121101211132002
113564a80a644642
12116ba2866b9116
135275a450c62aa
1421c9489323c0a
15e001c15e061c
hex6e2412abe062

121101211132002 has 40 divisors (see below), whose sum is σ = 280713535393500. Its totient is φ = 38975102431776.

The previous prime is 121101211132001. The next prime is 121101211132007. The reversal of 121101211132002 is 200231112101121.

It is a happy number.

121101211132002 is a `hidden beast` number, since 1 + 211 + 0 + 121 + 11 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112792237696161 + 8308973435841 = 10620369^2 + 2882529^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121101211132001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12888587377 + ... + 12888596772.

Almost surely, 2121101211132002 is an apocalyptic number.

121101211132002 is an abundant number, since it is smaller than the sum of its proper divisors (159612324261498).

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

121101211132002 is a wasteful number, since it uses less digits than its factorization.

121101211132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25777184192 (or 25777184183 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121101211132002 its reverse (200231112101121), we get a palindrome (321332323233123).

The spelling of 121101211132002 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 25777184149 51554368298 77331552447 154663104894 231994657341 463989314682 695983972023 747538340321 1391967944046 1495076680642 2087951916069 2242615020963 4175903832138 4485230041926 6727845062889 13455690125778 20183535188667 40367070377334 60550605566001 121101211132002