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121012000221120 = 26354715671711553
BaseRepresentation
bin11011100000111101001101…
…010010010110011111000000
3120212110122010100201212002120
4123200331031102112133000
5111330130034024033440
61105212051225444240
734326554114140461
oct3340751522263700
9525418110655076
10121012000221120
11356159a0391918
12116a4b2a040680
13526a4c8906868
1421c5025150d68
15decbee682dd0
hex6e0f4d4967c0

121012000221120 has 224 divisors, whose sum is σ = 392638483980288. Its totient is φ = 31563100127232.

The previous prime is 121012000221097. The next prime is 121012000221137. The reversal of 121012000221120 is 21122000210121.

121012000221120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121012000221120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69847264 + ... + 71558816.

It is an arithmetic number, because the mean of its divisors is an integer number (1752850374912).

Almost surely, 2121012000221120 is an apocalyptic number.

121012000221120 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 121012000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196319241990144).

121012000221120 is an abundant number, since it is smaller than the sum of its proper divisors (271626483759168).

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

121012000221120 is a wasteful number, since it uses less digits than its factorization.

121012000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713187 (or 1713177 counting only the distinct ones).

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

Adding to 121012000221120 its reverse (21122000210121), we get a palindrome (142134000431241).

The spelling of 121012000221120 in words is "one hundred twenty-one trillion, twelve billion, two hundred twenty-one thousand, one hundred twenty".