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212202102000 = 2435377171161
BaseRepresentation
bin1100010110100000111…
…0110001110011110000
3202021201201200200200010
43011220032301303300
511434042214231000
6241252335254520
721221365051260
oct3055016616360
9667651620603
10212202102000
1181aa3611019
123516207a440
131701a2c5985
14a3b08ab7a0
1557be816d50
hex31683b1cf0

212202102000 has 320 divisors, whose sum is σ = 792897251328. Its totient is φ = 47819520000.

The previous prime is 212202101999. The next prime is 212202102017. The reversal of 212202102000 is 201202212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946420 + ... + 3017580.

Almost surely, 2212202102000 is an apocalyptic number.

212202102000 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 212202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396448625664).

212202102000 is an abundant number, since it is smaller than the sum of its proper divisors (580695149328).

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

212202102000 is a wasteful number, since it uses less digits than its factorization.

212202102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71265 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212202102000 its reverse (201202212), we get a palindrome (212403304212).

The spelling of 212202102000 in words is "two hundred twelve billion, two hundred two million, one hundred two thousand".