Search a number
-
+
121022210000 = 2454194314813
BaseRepresentation
bin111000010110101111…
…1000101111111010000
3102120101020122021000002
41300231133011333100
53440323141210000
6131332525545132
711513020545326
oct1605537057720
9376336567002
10121022210000
114736397867a
121b5561151a8
13b548bcc863
145c00dd5d16
153234ac28d5
hex1c2d7c5fd0

121022210000 has 200 divisors, whose sum is σ = 315622343520. Its totient is φ = 44791488000.

The previous prime is 121022209969. The next prime is 121022210009. The reversal of 121022210000 is 12220121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8162594 + ... + 8177406.

Almost surely, 2121022210000 is an apocalyptic number.

121022210000 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 121022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157811171760).

121022210000 is an abundant number, since it is smaller than the sum of its proper divisors (194600133520).

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

121022210000 is a wasteful number, since it uses less digits than its factorization.

121022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14903 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121022210000 its reverse (12220121), we get a palindrome (121034430121).

The spelling of 121022210000 in words is "one hundred twenty-one billion, twenty-two million, two hundred ten thousand".