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121121012121120 = 253251110099757157
BaseRepresentation
bin11011100010100010101110…
…111001101111111000100000
3120212212001111120212011002100
4123202202232321233320200
5111333421313100333440
61105334120321050400
734340463410042064
oct3342425671577040
9525761446764070
10121121012121120
11356581507a6860
1211702091a86a00
13527787c4a1bbb
1421ca407003aa4
15e0097eb4a230
hex6e28aee6fe20

121121012121120 has 288 divisors, whose sum is σ = 450945738734400. Its totient is φ = 29359723345920.

The previous prime is 121121012121037. The next prime is 121121012121167. The reversal of 121121012121120 is 21121210121121.

It is a happy number.

121121012121120 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 2 + 121 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 121121012121093 and 121121012121102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159589582 + ... + 160346738.

It is an arithmetic number, because the mean of its divisors is an integer number (1565783815050).

Almost surely, 2121121012121120 is an apocalyptic number.

121121012121120 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 121121012121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225472869367200).

121121012121120 is an abundant number, since it is smaller than the sum of its proper divisors (329824726613280).

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

121121012121120 is a wasteful number, since it uses less digits than its factorization.

121121012121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767288 (or 767277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121012121120 its reverse (21121210121121), we get a palindrome (142242222242241).

The spelling of 121121012121120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred twenty-one thousand, one hundred twenty".