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42212104000 = 265311736571
BaseRepresentation
bin100111010100000010…
…011001011101000000
311000221211112001201021
4213110002121131000
51142422244312000
631220355515224
73023024651413
oct472402313500
9130854461637
1042212104000
11169a16a5570
1282208b8b14
133c99461341
1420862b9b7a
151170ce511a
hex9d4099740

42212104000 has 224 divisors, whose sum is σ = 115621564032. Its totient is φ = 15137280000.

The previous prime is 42212103979. The next prime is 42212104007. The reversal of 42212104000 is 40121224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212104007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6420715 + ... + 6427285.

Almost surely, 242212104000 is an apocalyptic number.

42212104000 is a gapful number since it is divisible by the number (40) 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 42212104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57810782016).

42212104000 is an abundant number, since it is smaller than the sum of its proper divisors (73409460032).

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

42212104000 is a wasteful number, since it uses less digits than its factorization.

42212104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42212104000 its reverse (40121224), we get a palindrome (42252225224).

The spelling of 42212104000 in words is "forty-two billion, two hundred twelve million, one hundred four thousand".