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121210212100120 = 235111379316784697
BaseRepresentation
bin11011100011110101110011…
…101000101010100000011000
3120220011120202002100120201021
4123203311303220222200120
5111341402003244200440
61105443111442132224
734350102023253643
oct3343656350524030
9526146662316637
10121210212100120
1135691a64872270
1211717426951074
1352830c6634870
1421d086996ca5a
15e02e50b4884a
hex6e3d73a2a818

121210212100120 has 256 divisors, whose sum is σ = 324563820134400. Its totient is φ = 40157774991360.

The previous prime is 121210212100111. The next prime is 121210212100127. The reversal of 121210212100120 is 21001212012121.

It is a junction number, because it is equal to n+sod(n) for n = 121210212100094 and 121210212100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210212100127) 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 63 ways as a sum of consecutive naturals, for example, 1431061612 + ... + 1431146308.

It is an arithmetic number, because the mean of its divisors is an integer number (1267827422400).

Almost surely, 2121210212100120 is an apocalyptic number.

121210212100120 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 121210212100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281910067200).

121210212100120 is an abundant number, since it is smaller than the sum of its proper divisors (203353608034280).

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

121210212100120 is a wasteful number, since it uses less digits than its factorization.

121210212100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87978 (or 87974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121210212100120 its reverse (21001212012121), we get a palindrome (142211424112241).

The spelling of 121210212100120 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, one hundred twenty".