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121001120 = 2551953751
BaseRepresentation
bin1110011011001…
…01010010100000
322102200111022222
413031211102200
5221434013440
620001250212
72666330642
oct715452240
9272614288
10121001120
1162335a29
1234633968
131c0b77c6
14120da892
15a9522b5
hex73654a0

121001120 has 96 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 44928000.

The previous prime is 121001113. The next prime is 121001141. The reversal of 121001120 is 21100121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 121001098 and 121001107.

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, 160745 + ... + 161495.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2121001120 is an apocalyptic number.

121001120 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 121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

121001120 is an abundant number, since it is smaller than the sum of its proper divisors (185995360).

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

121001120 is a wasteful number, since it uses less digits than its factorization.

121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 121001120 is about 11000.0509089731. The cubic root of 121001120 is about 494.6102703857.

Adding to 121001120 its reverse (21100121), we get a palindrome (142101241).

Subtracting from 121001120 its reverse (21100121), we obtain a palindrome (99900999).

It can be divided in two parts, 121001 and 120, that added together give a palindrome (121121).

The spelling of 121001120 in words is "one hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 76 80 95 106 152 160 190 212 265 304 380 424 530 608 751 760 848 1007 1060 1502 1520 1696 2014 2120 3004 3040 3755 4028 4240 5035 6008 7510 8056 8480 10070 12016 14269 15020 16112 20140 24032 28538 30040 32224 39803 40280 57076 60080 71345 79606 80560 114152 120160 142690 159212 161120 199015 228304 285380 318424 398030 456608 570760 636848 756257 796060 1141520 1273696 1512514 1592120 2283040 3025028 3184240 3781285 6050056 6368480 7562570 12100112 15125140 24200224 30250280 60500560 121001120