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122234442123040 = 2551360796814759
BaseRepresentation
bin11011110010101111101100…
…100000001000011100100000
3121000210111110102211201000121
4123302233230200020130200
5112010142114140414130
61111545421050130024
734514101265643142
oct3362575440103440
9530714412751017
10122234442123040
1135a47376a29a95
1211861a2b420914
135328873766270
14222826ddaac92
15e1e8e968ad7a
hex6f2bec808720

122234442123040 has 96 divisors (see below), whose sum is σ = 311504975631360. Its totient is φ = 45058362891264.

The previous prime is 122234442122981. The next prime is 122234442123133. The reversal of 122234442123040 is 40321244432221.

It is a super-2 number, since 2×1222344421230402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122234442122987 and 122234442123005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47144820 + ... + 49669939.

It is an arithmetic number, because the mean of its divisors is an integer number (3244843496160).

Almost surely, 2122234442123040 is an apocalyptic number.

122234442123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122234442123040 is an abundant number, since it is smaller than the sum of its proper divisors (189270533508320).

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

122234442123040 is a wasteful number, since it uses less digits than its factorization.

122234442123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96815394 (or 96815386 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 122234442123040 its reverse (40321244432221), we get a palindrome (162555686555261).

The spelling of 122234442123040 in words is "one hundred twenty-two trillion, two hundred thirty-four billion, four hundred forty-two million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 607 1040 1214 2080 2428 3035 4856 6070 7891 9712 12140 15782 19424 24280 31564 39455 48560 63128 78910 97120 126256 157820 252512 315640 631280 1262560 96814759 193629518 387259036 484073795 774518072 968147590 1258591867 1549036144 1936295180 2517183734 3098072288 3872590360 5034367468 6292959335 7745180720 10068734936 12585918670 15490361440 20137469872 25171837340 40274939744 50343674680 58766558713 100687349360 117533117426 201374698720 235066234852 293832793565 470132469704 587665587130 763965263269 940264939408 1175331174260 1527930526538 1880529878816 2350662348520 3055861053076 3819826316345 4701324697040 6111722106152 7639652632690 9402649394080 12223444212304 15279305265380 24446888424608 30558610530760 61117221061520 122234442123040