Search a number
-
+
122111061100 = 22527712456963
BaseRepresentation
bin111000110111001100…
…0101110110001101100
3102200012010111121220121
41301232120232301230
54000040412423400
6132032543454324
711552011615330
oct1615630566154
9380163447817
10122111061100
1147872568616
121b7ba8b73a4
13b690678a52
145ca58717c0
15329a4a521a
hex1c6e62ec6c

122111061100 has 72 divisors (see below), whose sum is σ = 307100844288. Its totient is φ = 41276961600.

The previous prime is 122111061091. The next prime is 122111061109. The reversal of 122111061100 is 1160111221.

It is an interprime number because it is at equal distance from previous prime (122111061091) and next prime (122111061109).

It is a super-2 number, since 2×1221110611002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111061109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178782 + ... + 1278181.

It is an arithmetic number, because the mean of its divisors is an integer number (4265289504).

Almost surely, 2122111061100 is an apocalyptic number.

122111061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111061100 is an abundant number, since it is smaller than the sum of its proper divisors (184989783188).

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

122111061100 is a wasteful number, since it uses less digits than its factorization.

122111061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457055 (or 2457048 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122111061100 its reverse (1160111221), we get a palindrome (123271172321).

The spelling of 122111061100 in words is "one hundred twenty-two billion, one hundred eleven million, sixty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 2456963 4913926 9827852 12284815 17198741 24569630 34397482 49139260 61424075 68794964 85993705 122848150 171987410 174444373 245696300 343974820 348888746 429968525 697777492 859937050 872221865 1221110611 1719874100 1744443730 2442221222 3488887460 4361109325 4884442444 6105553055 8722218650 12211106110 17444437300 24422212220 30527765275 61055530550 122111061100