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121322496 = 210373541
BaseRepresentation
bin1110011101100…
…11110000000000
322110021211011210
413032303300000
5222024304441
620012210120
73002136621
oct716636000
9273254153
10121322496
1162535429
1234769940
131c19ab79
1412181a48
15a9b7616
hex73b3c00

121322496 has 88 divisors (see below), whose sum is σ = 328404304. Its totient is φ = 39813120.

The previous prime is 121322491. The next prime is 121322501. The reversal of 121322496 is 694223121.

It is an interprime number because it is at equal distance from previous prime (121322491) and next prime (121322501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121322491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223986 + ... + 224526.

Almost surely, 2121322496 is an apocalyptic number.

121322496 is a gapful number since it is divisible by the number (16) 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 121322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164202152).

121322496 is an abundant number, since it is smaller than the sum of its proper divisors (207081808).

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

121322496 is an equidigital number, since it uses as much as digits as its factorization.

121322496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 121322496 is about 11014.6491546485. The cubic root of 121322496 is about 495.0477741871.

The spelling of 121322496 in words is "one hundred twenty-one million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 541 584 768 876 1024 1082 1168 1536 1623 1752 2164 2336 3072 3246 3504 4328 4672 6492 7008 8656 9344 12984 14016 17312 18688 25968 28032 34624 37376 39493 51936 56064 69248 74752 78986 103872 112128 118479 138496 157972 207744 224256 236958 276992 315944 415488 473916 553984 631888 830976 947832 1263776 1661952 1895664 2527552 3791328 5055104 7582656 10110208 15165312 20220416 30330624 40440832 60661248 121322496