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121201101222120 = 2332519165710693699
BaseRepresentation
bin11011100011101101010100…
…100101011011000011101000
3120220010201020010122000200100
4123203231110211123003220
5111341224323403101440
61105435003420305400
734346330163133263
oct3343552445330350
9526121203560610
10121201101222120
1135689109a2a827
12117157036a2260
1352822a3c026aa
1421d0243933cda
15e02abad69230
hex6e3b5495b0e8

121201101222120 has 192 divisors, whose sum is σ = 414885617640000. Its totient is φ = 30600743998464.

The previous prime is 121201101222073. The next prime is 121201101222127. The reversal of 121201101222120 is 21222101102121.

121201101222120 is a `hidden beast` number, since 1 + 21 + 201 + 101 + 222 + 120 = 666.

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 = 121201101222093 and 121201101222102.

It is not an unprimeable number, because it can be changed into a prime (121201101222127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987031 + ... + 16680729.

It is an arithmetic number, because the mean of its divisors is an integer number (2160862591875).

Almost surely, 2121201101222120 is an apocalyptic number.

121201101222120 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 121201101222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207442808820000).

121201101222120 is an abundant number, since it is smaller than the sum of its proper divisors (293684516417880).

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

121201101222120 is a wasteful number, since it uses less digits than its factorization.

121201101222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695392 (or 10695385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201101222120 its reverse (21222101102121), we get a palindrome (142423202324241).

The spelling of 121201101222120 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".