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121021122022020 = 22325112292557104383
BaseRepresentation
bin11011100001000101101100…
…111111010000101010000100
3120212111111200002000100112100
4123201011230333100222010
5111330302224214201040
61105220200321352100
734330326136153263
oct3341055477205204
9525444602010470
10121021122022020
1135619851404950
12116a6854a98630
13526b32069169c
1421c564c7d05da
15ded0853bdb30
hex6e116cfd0a84

121021122022020 has 288 divisors, whose sum is σ = 402379827333120. Its totient is φ = 29198634900480.

The previous prime is 121021122022001. The next prime is 121021122022027. The reversal of 121021122022020 is 20220221120121.

It is a happy number.

121021122022020 is a `hidden beast` number, since 1 + 2 + 10 + 211 + 220 + 220 + 2 + 0 = 666.

It is a super-2 number, since 2×1210211220220202 (a number of 29 digits) contains 22 as substring.

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 = 121021122021984 and 121021122022002.

It is not an unprimeable number, because it can be changed into a prime (121021122022027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159342749 + ... + 1159447131.

It is an arithmetic number, because the mean of its divisors is an integer number (1397152178240).

Almost surely, 2121021122022020 is an apocalyptic number.

121021122022020 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 121021122022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201189913666560).

121021122022020 is an abundant number, since it is smaller than the sum of its proper divisors (281358705311100).

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

121021122022020 is a wasteful number, since it uses less digits than its factorization.

121021122022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107195 (or 107190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121021122022020 its reverse (20220221120121), we get a palindrome (141241343142141).

The spelling of 121021122022020 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, twenty-two thousand, twenty".