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122730104844 = 223217881227627
BaseRepresentation
bin111001001001101001…
…0001100100000001100
3102201210021100022021200
41302103102030200030
54002322401323334
6132214220025500
711603236451514
oct1622322144014
9381707308250
10122730104844
114805aa43316
121b952092290
13b75b9b1719
145d23b74844
1532d49d5799
hex1c9348c80c

122730104844 has 72 divisors (see below), whose sum is σ = 328857813648. Its totient is φ = 38459688960.

The previous prime is 122730104813. The next prime is 122730104851. The reversal of 122730104844 is 448401037221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122730104799 and 122730104808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425359 + ... + 652985.

It is an arithmetic number, because the mean of its divisors is an integer number (4567469634).

Almost surely, 2122730104844 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 122730104844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164428906824).

122730104844 is an abundant number, since it is smaller than the sum of its proper divisors (206127708804).

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

122730104844 is a wasteful number, since it uses less digits than its factorization.

122730104844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228535 (or 228530 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 122730104844 in words is "one hundred twenty-two billion, seven hundred thirty million, one hundred four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 881 1762 2643 3524 5286 7929 10572 14977 15858 29954 31716 44931 59908 89862 134793 179724 227627 269586 455254 539172 682881 910508 1365762 2048643 2731524 3869659 4097286 7739318 8194572 11608977 15478636 23217954 34826931 46435908 69653862 139307724 200539387 401078774 601618161 802157548 1203236322 1804854483 2406472644 3409169579 3609708966 6818339158 7219417932 10227508737 13636678316 20455017474 30682526211 40910034948 61365052422 122730104844