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121123221120000 = 21032541117139809
BaseRepresentation
bin11011100010100100110010…
…100100011010010000000000
3120212212021012112110220212200
4123202210302210122100000
5111333440324101320000
61105335123431353200
734340602222161051
oct3342446244322000
9525767175426780
10121123221120000
1135659084712370
12117025a9822800
135277b42034528
1421ca576544728
15e00a5da43500
hex6e293291a400

121123221120000 has 2640 divisors, whose sum is σ = 509071793630400. Its totient is φ = 27403223040000.

The previous prime is 121123221119947. The next prime is 121123221120019. The reversal of 121123221120000 is 21122321121.

121123221120000 is a `hidden beast` number, since 1 + 21 + 1 + 232 + 211 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 149719679596 + ... + 149719680404.

It is an arithmetic number, because the mean of its divisors is an integer number (192830224860).

Almost surely, 2121123221120000 is an apocalyptic number.

121123221120000 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 121123221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254535896815200).

121123221120000 is an abundant number, since it is smaller than the sum of its proper divisors (387948572510400).

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

121123221120000 is a wasteful number, since it uses less digits than its factorization.

121123221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121123221120000 its reverse (21122321121), we get a palindrome (121144343441121).

The spelling of 121123221120000 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred twenty thousand".