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120252873444 = 223111211375209
BaseRepresentation
bin110111111111110100…
…0010011101011100100
3102111101121222220122120
41233333220103223210
53432234213422234
6131124324225540
711454656362524
oct1577750235344
9374347886576
10120252873444
1146aa9680740
121b38053b2b0
13b4556c4922
145b6ab6d684
1531dc2a6049
hex1bffa13ae4

120252873444 has 48 divisors (see below), whose sum is σ = 306127563840. Its totient is φ = 36436771840.

The previous prime is 120252873443. The next prime is 120252873451. The reversal of 120252873444 is 444378252021.

It is a happy number.

It is a super-2 number, since 2×1202528734442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120252873396 and 120252873405.

It is not an unprimeable number, because it can be changed into a prime (120252873443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561312 + ... + 1636520.

It is an arithmetic number, because the mean of its divisors is an integer number (6377657580).

Almost surely, 2120252873444 is an apocalyptic number.

It is an amenable number.

120252873444 is an abundant number, since it is smaller than the sum of its proper divisors (185874690396).

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

120252873444 is a wasteful number, since it uses less digits than its factorization.

120252873444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87340 (or 87338 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 120252873444 in words is "one hundred twenty billion, two hundred fifty-two million, eight hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 12113 24226 36339 48452 72678 75209 133243 145356 150418 225627 266486 300836 399729 451254 532972 799458 827299 902508 1598916 1654598 2481897 3309196 4963794 9927588 911006617 1822013234 2733019851 3644026468 5466039702 10021072787 10932079404 20042145574 30063218361 40084291148 60126436722 120252873444