Search a number
-
+
1121202120 = 233537673769
BaseRepresentation
bin100001011010100…
…0010111111001000
32220010201222011110
41002311002333020
54244011431440
6303131130320
736533026563
oct10265027710
92803658143
101121202120
11525986825
122735a39a0
1314b39530c
14a8c9b4da
1568673080
hex42d42fc8

1121202120 has 128 divisors (see below), whose sum is σ = 3507004800. Its totient is φ = 286488576.

The previous prime is 1121202073. The next prime is 1121202151. The reversal of 1121202120 is 212021211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121202096 and 1121202105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295596 + ... + 299364.

It is an arithmetic number, because the mean of its divisors is an integer number (27398475).

Almost surely, 21121202120 is an apocalyptic number.

1121202120 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 1121202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753502400).

1121202120 is an abundant number, since it is smaller than the sum of its proper divisors (2385802680).

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

1121202120 is a wasteful number, since it uses less digits than its factorization.

1121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121202120 is about 33484.3563474050. The cubic root of 1121202120 is about 1038.8702351986.

Adding to 1121202120 its reverse (212021211), we get a palindrome (1333223331).

It can be divided in two parts, 1 and 121202120, that added together give a palindrome (121202121).

The spelling of 1121202120 in words is "one billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 67 74 111 120 134 148 185 201 222 268 296 335 370 402 444 536 555 670 740 804 888 1005 1110 1340 1480 1608 2010 2220 2479 2680 3769 4020 4440 4958 7437 7538 8040 9916 11307 12395 14874 15076 18845 19832 22614 24790 29748 30152 37185 37690 45228 49580 56535 59496 74370 75380 90456 99160 113070 139453 148740 150760 226140 252523 278906 297480 418359 452280 505046 557812 697265 757569 836718 1010092 1115624 1262615 1394530 1515138 1673436 2020184 2091795 2525230 2789060 3030276 3346872 3787845 4183590 5050460 5578120 6060552 7575690 8367180 9343351 10100920 15151380 16734360 18686702 28030053 30302760 37373404 46716755 56060106 74746808 93433510 112120212 140150265 186867020 224240424 280300530 373734040 560601060 1121202120