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122970381824 = 291714994819
BaseRepresentation
bin111001010000110011…
…0110001111000000000
3102202102000110122100002
41302201212301320000
54003320404204244
6132254122015132
711612214666503
oct1624146617000
9382360418302
10122970381824
1148173635a34
121b9ba6474a8
13b7996cb654
145d47a3d13a
1532eab48a4e
hex1ca19b1e00

122970381824 has 80 divisors (see below), whose sum is σ = 261902322000. Its totient is φ = 57479430144.

The previous prime is 122970381817. The next prime is 122970381883. The reversal of 122970381824 is 428183079221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249487 + ... + 1344305.

It is an arithmetic number, because the mean of its divisors is an integer number (3273779025).

Almost surely, 2122970381824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122970381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130951161000).

122970381824 is an abundant number, since it is smaller than the sum of its proper divisors (138931940176).

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

122970381824 is an equidigital number, since it uses as much as digits as its factorization.

122970381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95003 (or 94987 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 122970381824 in words is "one hundred twenty-two billion, nine hundred seventy million, three hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 256 272 298 512 544 596 1088 1192 2176 2384 2533 4352 4768 5066 8704 9536 10132 19072 20264 38144 40528 76288 81056 94819 162112 189638 324224 379276 648448 758552 1296896 1517104 1611923 3034208 3223846 6068416 6447692 12136832 12895384 14128031 24273664 25790768 28256062 48547328 51581536 56512124 103163072 113024248 206326144 226048496 240176527 412652288 452096992 480353054 825304576 904193984 960706108 1808387968 1921412216 3616775936 3842824432 7233551872 7685648864 15371297728 30742595456 61485190912 122970381824