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122030272 = 2671323911
BaseRepresentation
bin1110100011000…
…00100011000000
322111121210001201
413101200203000
5222214432042
620035310544
73011145250
oct721404300
9274553051
10122030272
1162979171
1234a4b454
131c388080
14122c7960
15aaa71b7
hex74608c0

122030272 has 112 divisors (see below), whose sum is σ = 311334912. Its totient is φ = 46126080.

The previous prime is 122030269. The next prime is 122030287. The reversal of 122030272 is 272030221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 133497 + ... + 134407.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2122030272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

122030272 is an abundant number, since it is smaller than the sum of its proper divisors (189304640).

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

122030272 is a wasteful number, since it uses less digits than its factorization.

122030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 122030272 is about 11046.7312812433. The cubic root of 122030272 is about 496.0085846589.

Adding to 122030272 its reverse (272030221), we get a palindrome (394060493).

The spelling of 122030272 in words is "one hundred twenty-two million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 911 1196 1288 1456 1472 1822 2093 2392 2576 2912 3644 4186 4784 5152 5824 6377 7288 8372 9568 10304 11843 12754 14576 16744 19136 20953 23686 25508 29152 33488 41906 47372 51016 58304 66976 82901 83812 94744 102032 133952 146671 165802 167624 189488 204064 272389 293342 331604 335248 378976 408128 544778 586684 663208 670496 757952 1089556 1173368 1326416 1340992 1906723 2179112 2346736 2652832 3813446 4358224 4693472 5305664 7626892 8716448 9386944 15253784 17432896 30507568 61015136 122030272