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121112202122120 = 2351119411814214637
BaseRepresentation
bin11011100010011010100001…
…110010010001001110001000
3120212211012202121021211110002
4123202122201302101032020
5111333300242220401440
61105330102204142132
734340032162221566
oct3342324162211610
9525735677254402
10121112202122120
113565443a789150
1211700433537948
135276aa71b7941
1421c9c0cd2aa36
15e006164a0115
hex6e26a1c91388

121112202122120 has 512 divisors, whose sum is σ = 323160018854400. Its totient is φ = 40375480320000.

The previous prime is 121112202122099. The next prime is 121112202122129. The reversal of 121112202122120 is 21221202211121.

It is a super-4 number, since 4×1211122021221204 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121112202122092 and 121112202122101.

It is not an unprimeable number, because it can be changed into a prime (121112202122129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26118652442 + ... + 26118657078.

It is an arithmetic number, because the mean of its divisors is an integer number (631171911825).

Almost surely, 2121112202122120 is an apocalyptic number.

121112202122120 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 121112202122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161580009427200).

121112202122120 is an abundant number, since it is smaller than the sum of its proper divisors (202047816732280).

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

121112202122120 is a wasteful number, since it uses less digits than its factorization.

121112202122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121112202122120 its reverse (21221202211121), we get a palindrome (142333404333241).

The spelling of 121112202122120 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".