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121121022120000 = 263547592443927
BaseRepresentation
bin11011100010100010101111…
…011111111001000001000000
3120212212001112021200010222020
4123202202233133321001000
5111333421323130320000
61105334121315241440
734340463561035250
oct3342425737710100
9525761467603866
10121121022120000
11356581564060a1
12117020952a9280
1352778815930b6
1421ca408487960
15e00980972ba0
hex6e28af7f9040

121121022120000 has 560 divisors, whose sum is σ = 465419302149120. Its totient is φ = 27215559936000.

The previous prime is 121121022119861. The next prime is 121121022120001. The reversal of 121121022120000 is 21220121121.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (121121022120001) 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 79 ways as a sum of consecutive naturals, for example, 48338037 + ... + 50781963.

Almost surely, 2121121022120000 is an apocalyptic number.

121121022120000 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 121121022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232709651074560).

121121022120000 is an abundant number, since it is smaller than the sum of its proper divisors (344298280029120).

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

121121022120000 is an equidigital number, since it uses as much as digits as its factorization.

121121022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444028 (or 2444003 counting only the distinct ones).

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

Adding to 121121022120000 its reverse (21220121121), we get a palindrome (121142242241121).

The spelling of 121121022120000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand".