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1022120000 = 26541123101
BaseRepresentation
bin111100111011000…
…101000001000000
32122020022002001022
4330323011001000
54043130320000
6245231325012
734220606456
oct7473050100
92566262038
101022120000
11484a61980
12246380768
131339b3545
1499a689d6
155eb00585
hex3cec5040

1022120000 has 280 divisors, whose sum is σ = 2913717312. Its totient is φ = 352000000.

The previous prime is 1022119981. The next prime is 1022120009. The reversal of 1022120000 is 212201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1022120000.

It is not an unprimeable number, because it can be changed into a prime (1022120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10119950 + ... + 10120050.

Almost surely, 21022120000 is an apocalyptic number.

1022120000 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 1022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456858656).

1022120000 is an abundant number, since it is smaller than the sum of its proper divisors (1891597312).

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

1022120000 is a wasteful number, since it uses less digits than its factorization.

1022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1022120000 is about 31970.6115049431. The cubic root of 1022120000 is about 1007.3196256921.

Adding to 1022120000 its reverse (212201), we get a palindrome (1022332201).

The spelling of 1022120000 in words is "one billion, twenty-two million, one hundred twenty thousand".