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1121221000020 = 22351119101885263
BaseRepresentation
bin10000010100001101111…
…110101011101101010100
310222012001211010021010110
4100110031332223231110
5121332230034000040
62215025401123020
7144001621152162
oct20241576535524
93865054107113
101121221000020
113a256402a440
12161372789470
138196641aa14
143c3a59c8232
151e273a04980
hex1050dfabb54

1121221000020 has 192 divisors, whose sum is σ = 3640772136960. Its totient is φ = 254955456000.

The previous prime is 1121220999949. The next prime is 1121221000021. The reversal of 1121221000020 is 200001221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121221000021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823909 + ... + 1709171.

It is an arithmetic number, because the mean of its divisors is an integer number (18962354880).

Almost surely, 21121221000020 is an apocalyptic number.

1121221000020 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 1121221000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820386068480).

1121221000020 is an abundant number, since it is smaller than the sum of its proper divisors (2519551136940).

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

1121221000020 is a wasteful number, since it uses less digits than its factorization.

1121221000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885406 (or 885404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1121221000020 its reverse (200001221211), we get a palindrome (1321222221231).

The spelling of 1121221000020 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty", and thus it is an aban number.