Search a number
-
+
122490720968 = 237211216072
BaseRepresentation
bin111001000010100000…
…1000001001011001000
3102201011120220100100012
41302011001001023020
54001330111032333
6132134345131052
711564301643400
oct1620501011310
9381146810305
10122490720968
1147a47900700
121b8a5a89a88
13b721218165
145d0005d800
1532bd99be48
hex1c850412c8

122490720968 has 108 divisors (see below), whose sum is σ = 293846041755. Its totient is φ = 47693960160.

The previous prime is 122490720943. The next prime is 122490720997. The reversal of 122490720968 is 869027094221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61245360484 + 61245360484 = 247478^2 + 247478^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247478.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76222421 + ... + 76224027.

Almost surely, 2122490720968 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 122490720968

122490720968 is an abundant number, since it is smaller than the sum of its proper divisors (171355320787).

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

122490720968 is an equidigital number, since it uses as much as digits as its factorization.

122490720968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

Multiplying 122490720968 by its sum of digits (50), we get a square (6124536048400 = 24747802).

The spelling of 122490720968 in words is "one hundred twenty-two billion, four hundred ninety million, seven hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1607 1694 2156 3214 3388 4312 5929 6428 6776 11249 11858 12856 17677 22498 23716 35354 44996 47432 70708 78743 89992 123739 141416 157486 194447 247478 314972 388894 494956 629944 777788 866173 989912 1361129 1555576 1732346 2582449 2722258 3464692 5164898 5444516 6929384 9527903 10329796 10889032 18077143 19055806 20659592 28406939 36154286 38111612 56813878 72308572 76223224 113627756 126540001 144617144 198848573 227255512 253080002 312476329 397697146 506160004 624952658 795394292 1012320008 1249905316 1391940011 1590788584 2187334303 2499810632 2783880022 4374668606 5567760044 8749337212 11135520088 15311340121 17498674424 30622680242 61245360484 122490720968