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121121002202200 = 235273112131122449
BaseRepresentation
bin11011100010100010101110…
…010011111010010001011000
3120212212001110220012012212221
4123202202232103322101120
5111333421303030432300
61105334115324313424
734340463226531000
oct3342425623722130
9525761426165787
10121121002202200
1135658146141600
121170208a6a2874
13527787a40b210
1421ca405981000
15e0097dd3b31a
hex6e28ae4fa458

121121002202200 has 576 divisors, whose sum is σ = 388740353400000. Its totient is φ = 34847969587200.

The previous prime is 121121002202149. The next prime is 121121002202227. The reversal of 121121002202200 is 2202200121121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 107346576 + ... + 108469024.

It is an arithmetic number, because the mean of its divisors is an integer number (674896446875).

Almost surely, 2121121002202200 is an apocalyptic number.

121121002202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194370176700000).

121121002202200 is an abundant number, since it is smaller than the sum of its proper divisors (267619351197800).

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

121121002202200 is a wasteful number, since it uses less digits than its factorization.

121121002202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122521 (or 1122487 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121121002202200 its reverse (2202200121121), we get a palindrome (123323202323321).

The spelling of 121121002202200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two million, two hundred two thousand, two hundred".