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122002122212010 = 23251355579135689
BaseRepresentation
bin11011101111010111010101…
…001010000000001010101010
3120222222021210122221102111100
4123233113111022000022222
5111442340321241241020
61111251000132142230
734461235215200235
oct3357272512001252
9528867718842440
10122002122212010
113596789a444317
12118249b3a67976
13530c99b5580a1
14221ad1170c41c
15e1884dad6a90
hex6ef5d52802aa

122002122212010 has 24 divisors (see below), whose sum is σ = 317205517751460. Its totient is φ = 32533899256512.

The previous prime is 122002122211967. The next prime is 122002122212011. The reversal of 122002122212010 is 10212221200221.

It is a happy number.

122002122212010 is a `hidden beast` number, since 1 + 2 + 200 + 212 + 221 + 20 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114996090246129 + 7006031965881 = 10723623^2 + 2646891^2 .

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 (122002122212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677789567755 + ... + 677789567934.

Almost surely, 2122002122212010 is an apocalyptic number.

122002122212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122002122212010 is an abundant number, since it is smaller than the sum of its proper divisors (195203395539450).

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

122002122212010 is a wasteful number, since it uses less digits than its factorization.

122002122212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355579135702 (or 1355579135699 counting only the distinct ones).

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

Adding to 122002122212010 its reverse (10212221200221), we get a palindrome (132214343412231).

The spelling of 122002122212010 in words is "one hundred twenty-two trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1355579135689 2711158271378 4066737407067 6777895678445 8133474814134 12200212221201 13555791356890 20333687035335 24400424442402 40667374070670 61001061106005 122002122212010