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1201212002100 = 2235211721950423
BaseRepresentation
bin10001011110101101110…
…100001000111100110100
311020211112112022012022010
4101132231310020330310
5124140040233031400
62315455034004220
7152533103356605
oct21365564107464
94224475265263
101201212002100
11423481950220
12174977576670
1389373722106
14421d349ddac
15213a62e7450
hex117add08f34

1201212002100 has 144 divisors (see below), whose sum is σ = 3792062292480. Its totient is φ = 291156796800.

The previous prime is 1201212002087. The next prime is 1201212002119. The reversal of 1201212002100 is 12002121021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23797489 + ... + 23847911.

It is an arithmetic number, because the mean of its divisors is an integer number (26333765920).

Almost surely, 21201212002100 is an apocalyptic number.

1201212002100 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 1201212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896031146240).

1201212002100 is an abundant number, since it is smaller than the sum of its proper divisors (2590850290380).

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

1201212002100 is a wasteful number, since it uses less digits than its factorization.

1201212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670 (or 57663 counting only the distinct ones).

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

Adding to 1201212002100 its reverse (12002121021), we get a palindrome (1213214123121).

The spelling of 1201212002100 in words is "one trillion, two hundred one billion, two hundred twelve million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 7219 14438 21657 28876 36095 43314 50423 72190 79409 86628 100846 108285 144380 151269 158818 180475 201692 216570 238227 252115 302538 317636 360950 397045 433140 476454 504230 541425 554653 605076 721900 756345 794090 952908 1008460 1082850 1109306 1191135 1260575 1512690 1588180 1663959 1985225 2165700 2218612 2382270 2521150 2773265 3025380 3327918 3781725 3970450 4764540 5042300 5546530 5955675 6655836 7563450 7940900 8319795 11093060 11911350 13866325 15126900 16639590 23822700 27732650 33279180 41598975 55465300 83197950 166395900 364003637 728007274 1092010911 1456014548 1820018185 2184021822 3640036370 4004040007 4368043644 5460054555 7280072740 8008080014 9100090925 10920109110 12012120021 16016160028 18200181850 20020200035 21840218220 24024240042 27300272775 36400363700 40040400070 48048480084 54600545550 60060600105 80080800140 100101000175 109201091100 120121200210 200202000350 240242400420 300303000525 400404000700 600606001050 1201212002100