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123421077920 = 2557228148311
BaseRepresentation
bin111001011110001111…
…0000011000110100000
3102210120102112101011002
41302330132003012200
54010231243443140
6132410542011132
711626326565340
oct1627436030640
9383512471132
10123421077920
1148384a87648
121bb05576aa8
13b83bbb012a
145d8b83cd20
1533254c3415
hex1cbc7831a0

123421077920 has 96 divisors (see below), whose sum is σ = 333389903616. Its totient is φ = 42296371200.

The previous prime is 123421077917. The next prime is 123421077973. The reversal of 123421077920 is 29770124321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530565 + ... + 2578875.

It is an arithmetic number, because the mean of its divisors is an integer number (3472811496).

Almost surely, 2123421077920 is an apocalyptic number.

123421077920 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 123421077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166694951808).

123421077920 is an abundant number, since it is smaller than the sum of its proper divisors (209968825696).

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

123421077920 is a wasteful number, since it uses less digits than its factorization.

123421077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50614 (or 50606 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 123421077920 in words is "one hundred twenty-three billion, four hundred twenty-one million, seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2281 4562 9124 11405 15967 18248 22810 31934 36496 45620 48311 63868 72992 79835 91240 96622 127736 159670 182480 193244 241555 255472 319340 338177 364960 386488 483110 510944 638680 676354 772976 966220 1277360 1352708 1545952 1690885 1932440 2554720 2705416 3381770 3864880 5410832 6763540 7729760 10821664 13527080 27054160 54108320 110197391 220394782 440789564 550986955 771381737 881579128 1101973910 1542763474 1763158256 2203947820 3085526948 3526316512 3856908685 4407895640 6171053896 7713817370 8815791280 12342107792 15427634740 17631582560 24684215584 30855269480 61710538960 123421077920