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1021200012 = 2232717922639
BaseRepresentation
bin111100110111100…
…100011010001100
32122011120100001200
4330313210122030
54042411400022
6245155505500
734210025340
oct7467443214
92564510050
101021200012
11484493758
12245bb8290
13133750881
14998a9620
155e9bcbac
hex3cde468c

1021200012 has 72 divisors (see below), whose sum is σ = 2966745600. Its totient is φ = 290128608.

The previous prime is 1021199983. The next prime is 1021200017. The reversal of 1021200012 is 2100021201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021199967 and 1021200003.

It is not an unprimeable number, because it can be changed into a prime (1021200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33789 + ... + 56427.

It is an arithmetic number, because the mean of its divisors is an integer number (41204800).

Almost surely, 21021200012 is an apocalyptic number.

1021200012 is a gapful number since it is divisible by the number (12) 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 1021200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483372800).

1021200012 is an abundant number, since it is smaller than the sum of its proper divisors (1945545588).

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

1021200012 is a wasteful number, since it uses less digits than its factorization.

1021200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22835 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021200012 is about 31956.2202395715. The cubic root of 1021200012 is about 1007.0173128039.

Adding to 1021200012 its reverse (2100021201), we get a palindrome (3121221213).

The spelling of 1021200012 in words is "one billion, twenty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 22639 45108 45278 67917 90556 135834 158473 203751 271668 316946 407502 475419 633892 815004 950838 1426257 1901676 2852514 4052381 5705028 8104762 12157143 16209524 24314286 28366667 36471429 48628572 56733334 72942858 85100001 113466668 145885716 170200002 255300003 340400004 510600006 1021200012