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212454454212 = 223272111321737103
BaseRepresentation
bin1100010111011101000…
…1011011001111000100
3202022101022112111211100
43011313101123033010
511440101320013322
6241333352140100
721230551031100
oct3056721331704
9668338474740
10212454454212
1182113000a70
1235212697630
131705a67cc00
14a3d61da900
1557d6a62dac
hex317745b3c4

212454454212 has 1296 divisors, whose sum is σ = 810285420672. Its totient is φ = 46193172480.

The previous prime is 212454454207. The next prime is 212454454241.

212454454212 is a `hidden beast` number, since 21 + 2 + 45 + 44 + 542 + 12 = 666.

212454454212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2124544542122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2062664553 + ... + 2062664655.

It is an arithmetic number, because the mean of its divisors is an integer number (625220232).

Almost surely, 2212454454212 is an apocalyptic number.

212454454212 is a gapful number since it is divisible by the number (22) 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 212454454212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405142710336).

212454454212 is an abundant number, since it is smaller than the sum of its proper divisors (597830966460).

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

212454454212 is a wasteful number, since it uses less digits than its factorization.

212454454212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 212454 and 454212, that added together give a palindrome (666666).

The spelling of 212454454212 in words is "two hundred twelve billion, four hundred fifty-four million, four hundred fifty-four thousand, two hundred twelve".