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202122012000 = 2535319738537
BaseRepresentation
bin1011110000111101101…
…0010010010101100000
3201022201020020001201110
42330033122102111200
511302421213341000
6232504212103320
720413525516626
oct2741732222540
9638636201643
10202122012000
11787a0674227
123320a304b40
13160a1b4618c
149ad5c5b516
1553ce8d8850
hex2f0f692560

202122012000 has 192 divisors, whose sum is σ = 662564919744. Its totient is φ = 53865574400.

The previous prime is 202122011981. The next prime is 202122012013. The reversal of 202122012000 is 210221202.

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 31 ways as a sum of consecutive naturals, for example, 23671732 + ... + 23680268.

It is an arithmetic number, because the mean of its divisors is an integer number (3450858957).

Almost surely, 2202122012000 is an apocalyptic number.

202122012000 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 202122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331282459872).

202122012000 is an abundant number, since it is smaller than the sum of its proper divisors (460442907744).

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

202122012000 is a wasteful number, since it uses less digits than its factorization.

202122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10520 counting only the distinct ones).

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

Adding to 202122012000 its reverse (210221202), we get a palindrome (202332233202).

The spelling of 202122012000 in words is "two hundred two billion, one hundred twenty-two million, twelve thousand".