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121201011122000 = 245360600505561
BaseRepresentation
bin11011100011101101001111…
…001101101101111101010000
3120220010200222212002110112212
4123203231033031231331100
5111341224132321401000
61105434550441211252
734346325020242565
oct3343551715557520
9526120885073485
10121201011122000
1135689073090217
1211715699490b28
13528228b347004
1421d023599c86c
15e02ab2ebcc35
hex6e3b4f36df50

121201011122000 has 40 divisors (see below), whose sum is σ = 293064044897832. Its totient is φ = 48480404448000.

The previous prime is 121201011121999. The next prime is 121201011122027. The reversal of 121201011122000 is 221110102121.

It can be written as a sum of positive squares in 4 ways, for example, as 2537636256016 + 118663374865984 = 1592996^2 + 10893272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30300250781 + ... + 30300254780.

Almost surely, 2121201011122000 is an apocalyptic number.

121201011122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201011122000 is an abundant number, since it is smaller than the sum of its proper divisors (171863033775832).

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

121201011122000 is an equidigital number, since it uses as much as digits as its factorization.

121201011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60600505584 (or 60600505568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121201011122000 its reverse (221110102121), we get a palindrome (121422121224121).

The spelling of 121201011122000 in words is "one hundred twenty-one trillion, two hundred one billion, eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60600505561 121201011122 242402022244 303002527805 484804044488 606005055610 969608088976 1212010111220 1515012639025 2424020222440 3030025278050 4848040444880 6060050556100 7575063195125 12120101112200 15150126390250 24240202224400 30300252780500 60600505561000 121201011122000