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212201001102240 = 25335373313158479
BaseRepresentation
bin110000001111111011100101…
…010010101010101110100000
31000211100012212121202002222000
4300033323211102222232200
5210303200122240232430
62031151443310444000
762461005424445463
oct6017734522525640
91024305777662860
10212201001102240
1161682a37065277
121b971b85b03600
139153612502707
143a5882463b2da
15197ec7d281e60
hexc0fee54aaba0

212201001102240 has 192 divisors, whose sum is σ = 742902516518400. Its totient is φ = 56571770760192.

The previous prime is 212201001102191. The next prime is 212201001102241. The reversal of 212201001102240 is 42201100102212.

212201001102240 is a `hidden beast` number, since 2 + 1 + 220 + 100 + 1 + 102 + 240 = 666.

212201001102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212201001102241) 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, 9547321 + ... + 22705799.

It is an arithmetic number, because the mean of its divisors is an integer number (3869283940200).

Almost surely, 2212201001102240 is an apocalyptic number.

212201001102240 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 212201001102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371451258259200).

212201001102240 is an abundant number, since it is smaller than the sum of its proper divisors (530701515416160).

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

212201001102240 is a wasteful number, since it uses less digits than its factorization.

212201001102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162236 (or 13162222 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212201001102240 its reverse (42201100102212), we get a palindrome (254402101204452).

The spelling of 212201001102240 in words is "two hundred twelve trillion, two hundred one billion, one million, one hundred two thousand, two hundred forty".