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122883770880 = 2932513834943
BaseRepresentation
bin111001001110001110…
…0011000101000000000
3102202011222111100110100
41302130130120220000
54003131221132010
6132241345402400
711610113550453
oct1623434305000
9382158440410
10122883770880
1148129759942
121b995639400
13b784795180
145d3a33549a
1532e323b2c0
hex1c9c718a00

122883770880 has 480 divisors, whose sum is σ = 463933806336. Its totient is φ = 29877829632.

The previous prime is 122883770851. The next prime is 122883770923. The reversal of 122883770880 is 88077388221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1228837708802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24857689 + ... + 24862631.

Almost surely, 2122883770880 is an apocalyptic number.

122883770880 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 122883770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231966903168).

122883770880 is an abundant number, since it is smaller than the sum of its proper divisors (341050035456).

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

122883770880 is a wasteful number, since it uses less digits than its factorization.

122883770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 122883770880 in words is "one hundred twenty-two billion, eight hundred eighty-three million, seven hundred seventy thousand, eight hundred eighty".