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400134001212 = 2232112973312861
BaseRepresentation
bin1011101001010011101…
…10000101001000111100
31102020211000201100002200
411310221312011020330
523023433301014322
6503452524151500
740623456615051
oct5645166051074
91366730640080
10400134001212
11144772237500
1265670098590
132b96a3280ba
141551bcc5028
15a61d5678ac
hex5d29d8523c

400134001212 has 216 divisors, whose sum is σ = 1127007541296. Its totient is φ = 119598336000.

The previous prime is 400134001199. The next prime is 400134001217. The reversal of 400134001212 is 212100431004.

400134001212 is a `hidden beast` number, since 40 + 0 + 13 + 400 + 1 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400134001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139856662 + ... + 139859522.

It is an arithmetic number, because the mean of its divisors is an integer number (5217627506).

Almost surely, 2400134001212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400134001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563503770648).

400134001212 is an abundant number, since it is smaller than the sum of its proper divisors (726873540084).

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

400134001212 is a wasteful number, since it uses less digits than its factorization.

400134001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 400134001212 its reverse (212100431004), we get a palindrome (612234432216).

The spelling of 400134001212 in words is "four hundred billion, one hundred thirty-four million, one thousand, two hundred twelve".