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122002122000 = 2435311315277
BaseRepresentation
bin111000110011111100…
…1001010010100010000
3102122220112111221120010
41301213321022110100
53444330020401000
6132014052514520
711546216632533
oct1614771122420
9378815457503
10122002122000
1147817021000
121b78a31ba40
13b673c25545
145c951d4a1a
153290b36d50
hex1c67e4a510

122002122000 has 320 divisors, whose sum is σ = 432667093248. Its totient is φ = 29574336000.

The previous prime is 122002121897. The next prime is 122002122049. The reversal of 122002122000 is 221200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7978362 + ... + 7993638.

Almost surely, 2122002122000 is an apocalyptic number.

122002122000 is a gapful number since it is divisible by the number (10) 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 122002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216333546624).

122002122000 is an abundant number, since it is smaller than the sum of its proper divisors (310664971248).

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

122002122000 is a wasteful number, since it uses less digits than its factorization.

122002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15336 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002122000 its reverse (221200221), we get a palindrome (122223322221).

The spelling of 122002122000 in words is "one hundred twenty-two billion, two million, one hundred twenty-two thousand".