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121301031220000 = 255429277857881
BaseRepresentation
bin11011100101001010011000…
…111000000111001100100000
3120220111021011102112220001221
4123211022120320013030200
5111344344002443020000
61105552531403104424
734356465430116052
oct3345123070071440
9526437142486057
10121301031220000
11357175298a3235
1211730b51b12114
13528b83b072658
1421d50035718d2
15e054b8d7761a
hex6e5298e07320

121301031220000 has 480 divisors, whose sum is σ = 310537110003120. Its totient is φ = 46570782720000.

The previous prime is 121301031219997. The next prime is 121301031220027. The reversal of 121301031220000 is 22130103121.

It can be written as a sum of positive squares in 40 ways, for example, as 101655677013136 + 19645354206864 = 10082444^2 + 4432308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137685619560 + ... + 137685620440.

Almost surely, 2121301031220000 is an apocalyptic number.

121301031220000 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 121301031220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155268555001560).

121301031220000 is an abundant number, since it is smaller than the sum of its proper divisors (189236078783120).

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

121301031220000 is an equidigital number, since it uses as much as digits as its factorization.

121301031220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121301031220000 its reverse (22130103121), we get a palindrome (121323161323121).

The spelling of 121301031220000 in words is "one hundred twenty-one trillion, three hundred one billion, thirty-one million, two hundred twenty thousand".