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122077013380 = 2257337480959
BaseRepresentation
bin111000110110001011…
…0110110010110000100
3102200002202102211012221
41301230112312112010
54000003203412010
6132025330022124
711551116331000
oct1615426662604
9380082384187
10122077013380
1147855323003
121b7ab417944
13b6865b757a
145ca112b700
1532974cbdda
hex1c6c5b6584

122077013380 has 96 divisors (see below), whose sum is σ = 307044864000. Its totient is φ = 40723675776.

The previous prime is 122077013329. The next prime is 122077013389. The reversal of 122077013380 is 83310770221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122077013389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13341 + ... + 494299.

It is an arithmetic number, because the mean of its divisors is an integer number (3198384000).

Almost surely, 2122077013380 is an apocalyptic number.

122077013380 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 122077013380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153522432000).

122077013380 is an abundant number, since it is smaller than the sum of its proper divisors (184967850620).

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

122077013380 is a wasteful number, since it uses less digits than its factorization.

122077013380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481026 (or 481010 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 122077013380 in words is "one hundred twenty-two billion, seventy-seven million, thirteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 343 370 490 518 686 740 980 1036 1295 1372 1715 1813 2590 3430 3626 5180 6860 7252 9065 12691 18130 25382 36260 50764 63455 126910 253820 480959 961918 1923836 2404795 3366713 4809590 6733426 9619180 13466852 16833565 17795483 23566991 33667130 35590966 47133982 67334260 71181932 88977415 94267964 117834955 124568381 164968937 177954830 235669910 249136762 329937874 355909660 471339820 498273524 622841905 659875748 824844685 871978667 1245683810 1649689370 1743957334 2491367620 3299378740 3487914668 4359893335 6103850669 8719786670 12207701338 17439573340 24415402676 30519253345 61038506690 122077013380