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121002222012210 = 23357311838914159
BaseRepresentation
bin11011100000110100000110…
…011101011100011100110010
3120212102200212220022101011000
4123200310012131130130302
5111330000022313342320
61105203353044502430
734326056601552000
oct3340640635343462
9525380786271130
10121002222012210
1135611832893830
12116a305b3aaa16
1352695cab63126
1421c4778643a70
15dec82aed5c90
hex6e0d0675c732

121002222012210 has 512 divisors, whose sum is σ = 410581094400000. Its totient is φ = 25138546110720.

The previous prime is 121002222012193. The next prime is 121002222012211. The reversal of 121002222012210 is 12210222200121.

It is a happy number.

121002222012210 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 222 + 201 + 221 + 0 = 666.

It is a super-2 number, since 2×1210022220122102 (a number of 29 digits) contains 22 as substring.

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 (121002222012211) 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 255 ways as a sum of consecutive naturals, for example, 8545951111 + ... + 8545965269.

It is an arithmetic number, because the mean of its divisors is an integer number (801916200000).

Almost surely, 2121002222012210 is an apocalyptic number.

121002222012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002222012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205290547200000).

121002222012210 is an abundant number, since it is smaller than the sum of its proper divisors (289578872387790).

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

121002222012210 is a wasteful number, since it uses less digits than its factorization.

121002222012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22596 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121002222012210 its reverse (12210222200121), we get a palindrome (133212444212331).

It can be divided in two parts, 1210022 and 22012210, that added together give a palindrome (23222232).

The spelling of 121002222012210 in words is "one hundred twenty-one trillion, two billion, two hundred twenty-two million, twelve thousand, two hundred ten".