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121948266052 = 22237174325127
BaseRepresentation
bin111000110010010101…
…1101101111001000100
3102122202210011210002101
41301210223231321010
53444222224003202
6132004450321444
711544664105234
oct1614453557104
9378683153071
10121948266052
1147799687258
121b774289284
13b665a1a012
145c8bdb5cc4
15328b049887
hex1c64aede44

121948266052 has 48 divisors (see below), whose sum is σ = 226137526272. Its totient is φ = 57421955360.

The previous prime is 121948265993. The next prime is 121948266107. The reversal of 121948266052 is 250662849121.

121948266052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 121948265993 and 121948266011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840713 + ... + 4865839.

It is an arithmetic number, because the mean of its divisors is an integer number (4711198464).

Almost surely, 2121948266052 is an apocalyptic number.

It is an amenable number.

121948266052 is a deficient number, since it is larger than the sum of its proper divisors (104189260220).

121948266052 is a wasteful number, since it uses less digits than its factorization.

121948266052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25968 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 121948266052 in words is "one hundred twenty-one billion, nine hundred forty-eight million, two hundred sixty-six thousand, fifty-two".

Divisors: 1 2 4 23 46 71 92 142 284 743 1486 1633 2972 3266 6532 17089 25127 34178 50254 52753 68356 100508 105506 211012 577921 1155842 1213319 1784017 2311684 2426638 3568034 4853276 7136068 18669361 37338722 41032391 74677444 82064782 164129564 429395303 858790606 1325524631 1717581212 2651049262 5302098524 30487066513 60974133026 121948266052