Search a number
-
+
2212122110000 = 245411171182953
BaseRepresentation
bin100000001100001100110…
…000001010100000110000
321211110212121000112020112
4200030030300022200300
5242220411230010000
64412122422000452
7315551306455445
oct40141460124060
97743777015215
102212122110000
11783179296710
122b8883276128
131307aa1004aa
14790d28979cc
153c820793235
hex2030cc0a830

2212122110000 has 200 divisors, whose sum is σ = 6186347847504. Its totient is φ = 757089280000.

The previous prime is 2212122109999. The next prime is 2212122110021. The reversal of 2212122110000 is 112212122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1278524 + ... + 2461476.

Almost surely, 22212122110000 is an apocalyptic number.

2212122110000 is a gapful number since it is divisible by the number (20) 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 2212122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093173923752).

2212122110000 is an abundant number, since it is smaller than the sum of its proper divisors (3974225737504).

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

2212122110000 is a wasteful number, since it uses less digits than its factorization.

2212122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183009 (or 1182988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2212122110000 its reverse (112212122), we get a palindrome (2212234322122).

The spelling of 2212122110000 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred ten thousand".