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212021012000 = 2553731723887
BaseRepresentation
bin1100010101110101101…
…1111110011000100000
3202021021002221100220002
43011131123332120200
511433204334341000
6241222350035132
721214035603140
oct3053533763040
9667232840802
10212021012000
1181a10374466
12351114a8aa8
1316cbb92c925
14a39480c920
1557ad9958d5
hex315d6fe620

212021012000 has 192 divisors, whose sum is σ = 597258095616. Its totient is φ = 72460569600.

The previous prime is 212021011921. The next prime is 212021012011. The reversal of 212021012000 is 210120212.

It is a happy 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, 8864057 + ... + 8887943.

It is an arithmetic number, because the mean of its divisors is an integer number (3110719248).

Almost surely, 2212021012000 is an apocalyptic number.

212021012000 is a gapful number since it is divisible by the number (20) 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 212021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298629047808).

212021012000 is an abundant number, since it is smaller than the sum of its proper divisors (385237083616).

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

212021012000 is a wasteful number, since it uses less digits than its factorization.

212021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24236 (or 24218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212021012000 its reverse (210120212), we get a palindrome (212231132212).

The spelling of 212021012000 in words is "two hundred twelve billion, twenty-one million, twelve thousand".