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122020220 = 225717167307
BaseRepresentation
bin1110100010111…
…10000101111100
322111121021021102
413101132011330
5222214121340
620035152232
73011104040
oct721360574
9274537242
10122020220
1162971663
1234a45678
131c38361a
14122c4020
15aaa4215
hex745e17c

122020220 has 96 divisors (see below), whose sum is σ = 312947712. Its totient is φ = 39011328.

The previous prime is 122020211. The next prime is 122020229. The reversal of 122020220 is 22020221.

It is an interprime number because it is at equal distance from previous prime (122020211) and next prime (122020229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020229) 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, 397307 + ... + 397613.

It is an arithmetic number, because the mean of its divisors is an integer number (3259872).

Almost surely, 2122020220 is an apocalyptic number.

122020220 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 122020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156473856).

122020220 is an abundant number, since it is smaller than the sum of its proper divisors (190927492).

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

122020220 is a wasteful number, since it uses less digits than its factorization.

122020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122020220 is about 11046.2762956573. The cubic root of 122020220 is about 495.9949650460.

Adding to 122020220 its reverse (22020221), we get a palindrome (144040441).

Subtracting from 122020220 its reverse (22020221), we obtain a palindrome (99999999).

The spelling of 122020220 in words is "one hundred twenty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 167 170 238 307 334 340 476 595 614 668 835 1169 1190 1228 1535 1670 2149 2338 2380 2839 3070 3340 4298 4676 5219 5678 5845 6140 8596 10438 10745 11356 11690 14195 19873 20876 21490 23380 26095 28390 36533 39746 42980 51269 52190 56780 73066 79492 99365 102538 104380 146132 182665 198730 205076 256345 358883 365330 397460 512690 717766 730660 871573 1025380 1435532 1743146 1794415 3486292 3588830 4357865 6101011 7177660 8715730 12202022 17431460 24404044 30505055 61010110 122020220