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1020012000 = 25353712143
BaseRepresentation
bin111100110011000…
…010010111100000
32122002022222102020
4330303002113200
54042110341000
6245114221440
734163646630
oct7463022740
92562288366
101020012000
11483852127
12245724880
13133425bc7
149967a6c0
155e835ba0
hex3ccc25e0

1020012000 has 192 divisors, whose sum is σ = 3819239424. Its totient is φ = 233126400.

The previous prime is 1020011999. The next prime is 1020012013. The reversal of 1020012000 is 2100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1020012000.

It is a congruent number.

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, 77929 + ... + 90071.

It is an arithmetic number, because the mean of its divisors is an integer number (19891872).

Almost surely, 21020012000 is an apocalyptic number.

1020012000 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 1020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909619712).

1020012000 is an abundant number, since it is smaller than the sum of its proper divisors (2799227424).

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

1020012000 is a wasteful number, since it uses less digits than its factorization.

1020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12178 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020012000 is about 31937.6267120774. The cubic root of 1020012000 is about 1006.6266570847.

Adding to 1020012000 its reverse (2100201), we get a palindrome (1022112201).

The spelling of 1020012000 in words is "one billion, twenty million, twelve thousand".