Search a number
-
+
122021200210000 = 2454713223601297
BaseRepresentation
bin11011101111101001000110…
…010010110010100001010000
3121000001010001020120010202111
4123233221012102302201100
5111443143404223210000
61111303433203555104
734462512043410520
oct3357510622624120
9530033036503674
10122021200210000
113597499a483603
121182863908ba94
13531171bc048b0
14221bc0138b680
15e190b892bcba
hex6efa464b2850

122021200210000 has 400 divisors, whose sum is σ = 365231753227264. Its totient is φ = 38444461056000.

The previous prime is 122021200209973. The next prime is 122021200210009. The reversal of 122021200210000 is 12002120221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021200210009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202629352 + ... + 203230648.

Almost surely, 2122021200210000 is an apocalyptic number.

122021200210000 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 122021200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182615876613632).

122021200210000 is an abundant number, since it is smaller than the sum of its proper divisors (243210553017264).

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

122021200210000 is a wasteful number, since it uses less digits than its factorization.

122021200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601568 (or 601547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122021200210000 its reverse (12002120221), we get a palindrome (122033202330221).

The spelling of 122021200210000 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred million, two hundred ten thousand".