Search a number
-
+
122000211102000 = 243537111767323081
BaseRepresentation
bin11011101111010101100011…
…001111101100100100110000
3120222222002212110211222102010
4123233111203033230210300
5111442322413020231000
61111250042342322520
734461136651056030
oct3357254317544460
9528862773758363
10122000211102000
1135966aa96a0060
121182455ba29440
13530c75563466a
14221abad9918c0
15e1878ae31d50
hex6ef5633ec930

122000211102000 has 1280 divisors, whose sum is σ = 520023960907776. Its totient is φ = 23822991360000.

The previous prime is 122000211101969. The next prime is 122000211102019. The reversal of 122000211102000 is 201112000221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5285730460 + ... + 5285753540.

Almost surely, 2122000211102000 is an apocalyptic number.

122000211102000 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 122000211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260011980453888).

122000211102000 is an abundant number, since it is smaller than the sum of its proper divisors (398023749805776).

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

122000211102000 is a wasteful number, since it uses less digits than its factorization.

122000211102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23815 (or 23799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000211102000 its reverse (201112000221), we get a palindrome (122201323102221).

The spelling of 122000211102000 in words is "one hundred twenty-two trillion, two hundred eleven million, one hundred two thousand".