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122111403040 = 25511239928921
BaseRepresentation
bin111000110111001101…
…0000010010000100000
3102200012011010222222001
41301232122002100200
54000041004344130
6132032555053344
711552014541254
oct1615632022040
9380164128861
10122111403040
1147872781510
121b7baa41254
13b690768593
145ca5920264
15329a5216ca
hex1c6e682420

122111403040 has 96 divisors (see below), whose sum is σ = 314856460800. Its totient is φ = 44384102400.

The previous prime is 122111403013. The next prime is 122111403047. The reversal of 122111403040 is 40304111221.

It is a super-2 number, since 2×1221114030402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111402999 and 122111403017.

It is not an unprimeable number, because it can be changed into a prime (122111403047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207780 + ... + 4236700.

It is an arithmetic number, because the mean of its divisors is an integer number (3279754800).

Almost surely, 2122111403040 is an apocalyptic number.

122111403040 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 122111403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157428230400).

122111403040 is an abundant number, since it is smaller than the sum of its proper divisors (192745057760).

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

122111403040 is a wasteful number, since it uses less digits than its factorization.

122111403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31346 (or 31338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122111403040 its reverse (40304111221), we get a palindrome (162415514261).

The spelling of 122111403040 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2399 4798 9596 11995 19192 23990 26389 28921 38384 47980 52778 57842 76768 95960 105556 115684 131945 144605 191920 211112 231368 263890 289210 318131 383840 422224 462736 527780 578420 636262 844448 925472 1055560 1156840 1272524 1590655 2111120 2313680 2545048 3181310 4222240 4627360 5090096 6362620 10180192 12725240 25450480 50900960 69381479 138762958 277525916 346907395 555051832 693814790 763196269 1110103664 1387629580 1526392538 2220207328 2775259160 3052785076 3815981345 5550518320 6105570152 7631962690 11101036640 12211140304 15263925380 24422280608 30527850760 61055701520 122111403040