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122000202000 = 2433534352541
BaseRepresentation
bin111000110011111000…
…1110101100100010000
3102122220101220101211000
41301213301311210100
53444324022431000
6132013543422000
711546164415055
oct1614761654420
9378811811730
10122000202000
1147815a2a526
121b789754900
13b673702651
145c94c5502c
1532908a8000
hex1c67c75910

122000202000 has 320 divisors, whose sum is σ = 447203877120. Its totient is φ = 31776192000.

The previous prime is 122000201989. The next prime is 122000202001. The reversal of 122000202000 is 202000221.

122000202000 is digitally balanced in base 3, 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 (9).

It is not an unprimeable number, because it can be changed into a prime (122000202001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295730 + ... + 2348270.

It is an arithmetic number, because the mean of its divisors is an integer number (1397512116).

Almost surely, 2122000202000 is an apocalyptic number.

122000202000 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 122000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223601938560).

122000202000 is an abundant number, since it is smaller than the sum of its proper divisors (325203675120).

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

122000202000 is a wasteful number, since it uses less digits than its factorization.

122000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52616 (or 52594 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 122000202000 its reverse (202000221), we get a palindrome (122202202221).

The spelling of 122000202000 in words is "one hundred twenty-two billion, two hundred two thousand".