Search a number
-
+
122143394951280 = 24335911539911497
BaseRepresentation
bin11011110001011010111001…
…101010101111000001110000
3121000110210110012112011022000
4123301122321222233001300
5112002144133101420110
61111435522341214000
734504366122520533
oct3361327152570160
9530423405464260
10122143394951280
1135a117a51a629a
121184825ba01300
1353200c39cbb31
142223ab3da2a1a
15e1c36b4111c0
hex6f16b9aaf070

122143394951280 has 320 divisors, whose sum is σ = 421292606976000. Its totient is φ = 32526962657280.

The previous prime is 122143394951261. The next prime is 122143394951309. The reversal of 122143394951280 is 82159493341221.

122143394951280 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 3 + 3 + 9 + 49 + 512 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10623930492 + ... + 10623941988.

It is an arithmetic number, because the mean of its divisors is an integer number (1316539396800).

Almost surely, 2122143394951280 is an apocalyptic number.

122143394951280 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 122143394951280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210646303488000).

122143394951280 is an abundant number, since it is smaller than the sum of its proper divisors (299149212024720).

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

122143394951280 is a wasteful number, since it uses less digits than its factorization.

122143394951280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 122143394951280 in words is "one hundred twenty-two trillion, one hundred forty-three billion, three hundred ninety-four million, nine hundred fifty-one thousand, two hundred eighty".