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1122121021120 = 265111016195099
BaseRepresentation
bin10000010101000011100…
…111111111011011000000
310222021101112200001222021
4100111003213333123000
5121341100440133440
62215254551451224
7144033130206331
oct20250347773300
93867345601867
101122121021120
113a2986076630
12161584086b14
1381a7aa20b98
143c44d34c288
151e2c7a3784a
hex105439ff6c0

1122121021120 has 224 divisors, whose sum is σ = 2949159456000. Its totient is φ = 403272192000.

The previous prime is 1122121021111. The next prime is 1122121021157. The reversal of 1122121021120 is 211201212211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122121021094 and 1122121021103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220064331 + ... + 220069429.

Almost surely, 21122121021120 is an apocalyptic number.

1122121021120 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 1122121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474579728000).

1122121021120 is an abundant number, since it is smaller than the sum of its proper divisors (1827038434880).

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

1122121021120 is a wasteful number, since it uses less digits than its factorization.

1122121021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122121021120 its reverse (211201212211), we get a palindrome (1333322233331).

The spelling of 1122121021120 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".