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1122001021020 = 22351117294098431
BaseRepresentation
bin10000010100111100011…
…110001110100001011100
310222021002011212102210010
4100110330132032201130
5121340324230133040
62215235023443220
7144030142214655
oct20247436164134
93867064772703
101122001021020
113a29243647a0
1216154ba56510
1381a5bbc6bc9
143c43b43252c
151e2bc231e80
hex1053c78e85c

1122001021020 has 384 divisors, whose sum is σ = 3763559116800. Its totient is φ = 246539059200.

The previous prime is 1122001021007. The next prime is 1122001021033. The reversal of 1122001021020 is 201201002211.

It is an interprime number because it is at equal distance from previous prime (1122001021007) and next prime (1122001021033).

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

It is a junction number, because it is equal to n+sod(n) for n = 1122001020987 and 1122001021005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133076205 + ... + 133084635.

It is an arithmetic number, because the mean of its divisors is an integer number (9800935200).

Almost surely, 21122001021020 is an apocalyptic number.

1122001021020 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 1122001021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881779558400).

1122001021020 is an abundant number, since it is smaller than the sum of its proper divisors (2641558095780).

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

1122001021020 is a wasteful number, since it uses less digits than its factorization.

1122001021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8907 counting only the distinct ones).

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

Adding to 1122001021020 its reverse (201201002211), we get a palindrome (1323202023231).

The spelling of 1122001021020 in words is "one trillion, one hundred twenty-two billion, one million, twenty-one thousand, twenty".