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121211022210000 = 2435417761312311
BaseRepresentation
bin11011100011110110100011…
…111010111111001111010000
3120220011122211112201102112220
4123203312203322333033100
5111341410133141210000
61105443324101421040
734350131061135222
oct3343664372771720
9526148745642486
10121211022210000
1135692340088868
121171761210a780
1352831c5417318
1421d09053aa412
15e02e9bd1b1a0
hex6e3da3ebf3d0

121211022210000 has 400 divisors, whose sum is σ = 414847872286848. Its totient is φ = 30381516800000.

The previous prime is 121211022209993. The next prime is 121211022210001. The reversal of 121211022210000 is 12220112121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1212110222100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211022210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 387953845 + ... + 388266155.

Almost surely, 2121211022210000 is an apocalyptic number.

121211022210000 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 121211022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207423936143424).

121211022210000 is an abundant number, since it is smaller than the sum of its proper divisors (293636850076848).

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

121211022210000 is a wasteful number, since it uses less digits than its factorization.

121211022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313120 (or 313099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121211022210000 its reverse (12220112121), we get a palindrome (121223242322121).

The spelling of 121211022210000 in words is "one hundred twenty-one trillion, two hundred eleven billion, twenty-two million, two hundred ten thousand".